An introduction to Hammer v2: Helicity Amplitude Module for Matrix Element Reweighting

Dean J. Robinson; Michele Papucci

arxiv: 2607.01459 · v1 · pith:PVW3D5GUnew · submitted 2026-07-01 · ✦ hep-ph

An introduction to Hammer v2: Helicity Amplitude Module for Matrix Element Reweighting

Michele Papucci , Dean J. Robinson This is my paper

Pith reviewed 2026-07-03 19:10 UTC · model grok-4.3

classification ✦ hep-ph

keywords Hammerhelicity amplitudesmatrix element reweightingb-hadron decaysbeyond Standard Modelform factorssemileptonic decaysMonte Carlo simulation

0 comments

The pith

Hammer v2 changes reweighting of b-hadron decay simulations from quartic to near-linear scaling in tensor rank and size.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper introduces Hammer version 2, a library that reweights large simulated datasets of semileptonic b-hadron decays to any beyond-Standard-Model theory or any form-factor description of the hadronic matrix elements. By performing this reweighting after detector simulation is complete, the library supports forward-folding fitting strategies that recover underlying physical parameters without bias from the original simulation choice. The central upgrade optimizes the internal tensor library so computational complexity scales almost linearly with amplitude tensor rank times size rather than quartically. This change makes reweighting feasible in high-dimensional spaces, such as the combined space of BSM Wilson coefficients and form-factor parameters, while preserving Monte Carlo uncertainties. Updated Python bindings provide full, bijective access to the C++ interface.

Core claim

Hammer v2 provides fast reweighting of simulated semileptonic b-hadron decays to arbitrary BSM theories or form-factor parametrizations through a helicity amplitude module. The decisive advance is an optimized tensor library whose complexity now scales almost linearly with amplitude tensor rank times size instead of quartically, allowing reweighting into very high-dimensional parameter spaces such as the product of Wilson coefficient and form-factor spaces without loss of Monte Carlo statistics.

What carries the argument

The optimized internal tensor library inside the helicity amplitude module, which carries out the matrix-element reweighting operations.

If this is right

Experimental analyses can recover true physical parameters through forward-folding fits that do not depend on the original simulation model.
Theory systematic uncertainties can be evaluated by reweighting the same dataset to multiple alternative models after detector simulation.
Reweighting becomes practical for combined spaces of multiple BSM Wilson coefficients and hadronic form-factor parameters.
Monte Carlo samples keep their full statistical power when mapped to new theoretical descriptions.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

The speed gain may allow repeated reweighting steps inside iterative parameter scans or global fits that combine many observables.
The same tensor optimization pattern could be applied to reweighting tools for other decay classes that use helicity amplitudes.
Preservation of Monte Carlo uncertainties supports direct propagation of statistical errors into final parameter constraints.

Load-bearing premise

The helicity-amplitude reweighting procedure maps any target BSM theory or form-factor parametrization onto the original simulated sample without introducing biases or losing Monte Carlo statistics.

What would settle it

Generate an independent Monte Carlo sample directly in a high-dimensional BSM model, reweight an existing lower-dimensional sample with Hammer v2 to the same model, and check whether the resulting distributions and uncertainties agree within statistical fluctuations.

Figures

Figures reproduced from arXiv: 2607.01459 by Dean J. Robinson, Michele Papucci.

**Figure 2.** Figure 2: FIG. 2. Example process tree for a decay cascade involving 10 particles (numbers), 4 vertices [PITH_FULL_IMAGE:figures/full_fig_p013_2.png] view at source ↗

read the original abstract

The Hammer software library provides fast and efficient reweighting of large simulated datasets containing semileptonic $b$-hadron decays to any beyond Standard Model (BSM) theory, or to any form-factor description of the hadronic matrix elements. By enabling reweighting to a different underlying theoretical model after the computationally-expensive detector simulation step has already been completed, Hammer permits experimental analyses to employ forward-folding fitting strategies to recover underlying physical parameters without biases, or to properly characterize theory systematic uncertainties. This publication details upgrades to Hammer functionalities and its application programming interface (API) for version 2.x, and also provides associated documentation of the library's structure, syntactical conventions, and code flow. Substantial optimization of Hammer's internal tensor library now enables computational complexity to generically scale almost linearly with amplitude tensor rank times size rather than as a quartic, enabling reweighting into very high dimension spaces, such as the product of BSM Wilson coefficient and form factor parameter linear spaces, while also retaining Monte Carlo uncertainties. Updated Python bindings are implemented with bijective correspondence to the C++ interface, allowing full access to library functionalities.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Desk Editor's Note private letter to a colleague

Hammer v2 adds near-linear tensor scaling and matching Python bindings, but the paper gives no benchmarks to support the performance claim.

read the letter

Hammer v2 updates the existing reweighting library with an internal tensor optimization that changes complexity from quartic to nearly linear in rank and size, plus Python bindings that map directly onto the C++ interface. Those are the concrete changes.

The paper does a solid job documenting the new API, library structure, syntactical conventions, and overall code flow. It explains at a high level how the tensor work enables reweighting across combined BSM Wilson coefficient and form-factor spaces while keeping Monte Carlo uncertainties. For anyone already running Hammer in semileptonic analyses, the updated documentation and bindings will be immediately useful.

The soft spot is the lack of evidence for the scaling improvement. The abstract and text state the complexity change, but there are no timing tables, benchmark comparisons to v1, or even simple test cases shown. Without that data it is hard to judge how large the practical gain is or whether memory or setup overheads offset it in high-dimensional fits.

The reweighting construction itself is unchanged from v1, so the usual assumptions about unbiased mapping to new theories or form-factor parametrizations carry over. The paper is a software description, not a physics result.

This is for experimental groups doing forward-folding fits or theory systematic studies at LHCb and similar experiments. Readers who need the tool will get value from the API details and bindings. It shows clear thinking about practical bottlenecks even if the verification data is thin.

Send it to peer review. The implemented changes matter for users and the documentation is worth checking, so referees can ask for the missing benchmarks.

Referee Report

1 major / 1 minor

Summary. The manuscript introduces Hammer v2, a software library for reweighting large Monte Carlo simulated datasets of semileptonic b-hadron decays to arbitrary BSM theories or form-factor parametrizations after detector simulation. It documents the updated API, library structure, code flow, and a key internal optimization to the tensor library that reduces computational complexity from quartic to nearly linear scaling with amplitude tensor rank and size. This change is stated to enable reweighting in high-dimensional spaces such as the product of BSM Wilson coefficients and form-factor parameters while retaining Monte Carlo uncertainties. Bijective Python bindings to the C++ interface are also described.

Significance. If the stated scaling improvement is validated, the work enables forward-folding fits over combined BSM and hadronic parameter spaces without bias from post-simulation reweighting, which is valuable for precision flavor physics analyses. The detailed documentation of code structure and syntactical conventions, together with the bijective Python bindings, supports usability and reproducibility for the community.

major comments (1)

[Abstract] Abstract: the central performance claim that 'computational complexity to generically scale almost linearly with amplitude tensor rank times size rather than as a quartic' is load-bearing for the assertion that reweighting into very high dimension spaces is now feasible, yet the manuscript supplies no benchmarks, timing tables, or derivation of the tensor algorithm to support this change.

minor comments (1)

The manuscript would benefit from explicit cross-references between the described code flow and the new API functions to improve readability for users implementing the reweighting procedure.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their thoughtful review and for highlighting the importance of substantiating the performance claims. We address the single major comment below and agree that additional material is warranted to support the central assertion regarding the tensor library optimization.

read point-by-point responses

Referee: [Abstract] Abstract: the central performance claim that 'computational complexity to generically scale almost linearly with amplitude tensor rank times size rather than as a quartic' is load-bearing for the assertion that reweighting into very high dimension spaces is now feasible, yet the manuscript supplies no benchmarks, timing tables, or derivation of the tensor algorithm to support this change.

Authors: We agree that the scaling claim is central to the paper's significance and that the current manuscript lacks the supporting evidence the referee correctly identifies. In the revised version we will add a dedicated section (or appendix) that (i) derives the complexity of the optimized tensor contraction algorithm, showing the reduction from O(n^4) to near-linear scaling in rank and size, and (ii) presents timing benchmarks on representative high-dimensional amplitude tensors, comparing the v1 and v2 implementations. These additions will directly validate the feasibility of reweighting in combined BSM and form-factor spaces while retaining Monte Carlo uncertainties. revision: yes

Circularity Check

0 steps flagged

No significant circularity; software description paper with no derivations or self-referential predictions

full rationale

The manuscript is a software description and API documentation for Hammer v2. It details code structure, Python bindings, and an internal tensor library optimization that changes complexity scaling, but presents no mathematical derivations, fitted parameters, predictions, or first-principles results. The reweighting procedure and its assumptions are inherited from v1 without modification or self-referential justification in this work. No load-bearing steps reduce to inputs by construction, self-citation chains, or ansatz smuggling. This is the expected outcome for a pure software paper.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

The paper is a software documentation document rather than a theoretical derivation, so it introduces no free parameters, axioms, or invented physical entities.

pith-pipeline@v0.9.1-grok · 5731 in / 1258 out tokens · 31741 ms · 2026-07-03T19:10:36.084839+00:00 · methodology

discussion (0)

Reference graph

Works this paper leans on

73 extracted references · 46 canonical work pages · 27 internal anchors

[1]

Scheme1"or

Adding A histogram is declared byHammer::addHistogram, which takes as arguments a name string and either: a vector of dimensions, a bool for under/overflow and a vector of ranges; or a vector of bin edges and a bool for under/overflow. The methodaddHistogramdoes not create a single histogram, but rather ahistogram set: A separate histogram is created for ...
[2]

q2VsEmu", {4., 0.5}); fills the appropriate bin element for the

Filling Filling of histograms for a specific event is performed byHammer::fillEventHistogram, which takes the histogram name and the values of the observables corresponding to each 6 Because of histogram compression functionality discussed in Sec. IIIM3 below, histograms are in practice indexed by aevent ID group, which is a set of event IDs: Without comp...
[3]

Computing and storing only the latter compressed form permits both speed gains and space savings

Compression In many use cases, the entire histogram set is not required, but rather its direct sum. Computing and storing only the latter compressed form permits both speed gains and space savings. The methodHammer::collapseProcessesInHistogramtakes a name of a histogram, and causes all members of the histogram set containing the same tensor structures to...
[4]

q2VsEmu",

(Partial) specialization A declared WC specialization (see Sec. IIIK) may be applied to a particular histogram viaHammer::applyWCSpecializationInHistogram, which takes the name of the histogram and the name of the specialization as arguments. For example, ham.applyWCSpecializationInHistogram("q2VsEmu", "JM"); This method should be applied beforeinitRun, a...
[5]

BtoCTauNu

Retrieval Once all events or histograms have been processed (or reloaded from a file, see Sec. IV) the user may retrieve a specific histogram via the methodHammer::getHistogram, which takes a histogram name and a FF scheme name. NP choices must be specified first via setWilsonCoefficients, as must FF uncertainties viasetFFEigenvectorsif a parametrization ...
[6]

Histos: {KeepErrors: true}

Uncertainties Computation of the weight-squared uncertainties (accessed from theBinContentsstruct viasumWi2) is off by default. This may be enabled globally via the options setting ham.setOptions("Histos: {KeepErrors: true}"). However, for computational speed and/or memory efficiency, it may be instead enabled or disabled for individual histograms via Ham...
[7]

q2VsEmuVsM2miss

Projection On occasion, it may be useful to project a pre-computedn-dimensional histogram onto a lower-dimensional one. This can be achieved via the methodcreateProjectedHistogram, which takes the name of the originaln-dimensional histogram, the name of the new histogram to be created, and a set of the index positions to be summed over or collapsed. For i...
[8]

For example, 36 outFile << ham.saveRunHeader(); writes the declared run header, with all its settings, into anIOBufferand passes it as a record into the buffer

Headers, events and rates The methodsHammer::save...return aIOBuffer, which can be stored as a sequential record in the stream via an insertion (<<) operator. For example, 36 outFile << ham.saveRunHeader(); writes the declared run header, with all its settings, into anIOBufferand passes it as a record into the buffer. The available record types are labell...
[9]

q2VsEmu"); saves all the unique

Histograms The methodsaveHistogram, when taking only a histogram name as an argument, saves the entire specified histogram set. The return value is the containerHammer::IOBuffers. An operator <<overload forIOBuffersallows to save all its entries at once (each histogram in a histogram set occupies an individual buffer record). For example, outFile << ham.s...
[10]

/DemoSave.dat

ROOT Saving a buffer inROOTformat is achieved by passing theIOBufferoutput of thesave... methods into aRootIOBuffer, which may then be stored in aROOTTTree. Explicit implemen- tations of this functionality are provided in variousdemo...root.ccexample programs. B. (Re)loading BufferrecordsmaybeloadedfromadeclaredifstreaminfileintoanIOBufferviaanistream ope...
[11]

The NP couplings to the quark and lepton currents are denoted byχi j andλ i j, respectively, and may in general be complex numbers

NP operator basis A complete basis for the four-Fermi operators mediatingb→c¯ℓνdecay, including right- handed neutrinos, is shown in Table VII. The NP couplings to the quark and lepton currents are denoted byχi j andλ i j, respectively, and may in general be complex numbers. The lower index ofλdenotes theνhelicity and the lower index ofχis that of thebqua...
[12]

Lorentz signs For all amplitudes encoded intoHammer, we use a trace−2metric, and the Lorentz sign conventions Tr[γµγνγσγργ5] =−4iϵ µνρσ , ϵ 0123 = +1.(A2) These choices fully specify all other possible ambiguous signs, for example theγ5 trace choice is equivalent toσµνγ5 ≡+ i 2 ϵµνρσ σρσ, withσ µν = i 2[γµ, γν]
[13]

Form factor definitions a. B→D The B→Dform factor tensor has ordered components FFD = n fS, f 0, f +, f T o ,(A3) which are defined via D ¯c b B ≡f S ,(A4a) D ¯cγµb B ≡f +(pB +p D)µ + [f0 −f +] m2 B −m 2 D q2 qµ ,(A4b) D ¯cσµνb B ≡if T h (pB +p D)µqν −(p B +p D)νqµ i .(A4c) These definitions map to the conventional dimensionless form factor sethS, h+, h−,...
[14]

delta_a0

Form factor variations At present, e.g. theBGLVarparametrization permits viasetFFEigenvectorsfunctionality (see Sec. IIII) direct manipulation of thea i,b i,c i andd i parameters forB→D ∗ (also denoteda g i,a f i,a F1 i anda P1 i , respectively, in some notational conventions). That is, the covariance matrix is set to the identity, and the basis of variat...
[15]

These (somewhat arbitrary) lineshape models typically factorize from the decay amplitudes themselves, and are generically invariant under reweighting

Resonance lineshapes EvtGenincludes additional momentum and angular momentum dependent models for resonance lineshapes, which can be numerically non-negligible for broad resonances such as theD ∗∗. These (somewhat arbitrary) lineshape models typically factorize from the decay amplitudes themselves, and are generically invariant under reweighting. They are...
[16]

Das ist der HAMMER: Consistent new physics interpretations of semileptonic decays,

F. U. Bernlochneret al., “Das ist der HAMMER: Consistent new physics interpretations of semileptonic decays,” Eur. Phys. J. C80, 9, 883 (2020), [arXiv:2002.00020]

work page arXiv 2020
[17]

Hammer - helicity amplitude module for matrix element reweighting,

F. U. Bernlochneret al., “Hammer - helicity amplitude module for matrix element reweighting,” (2026), Ver. 2.0.0, URLhttps://doi.org/10.5281/zenodo.20716678

work page doi:10.5281/zenodo.20716678 2026
[18]

Hammer - helicity amplitude module for matrix element reweighting,

F. U. Bernlochneret al., “Hammer - helicity amplitude module for matrix element reweighting,” (2024), Ver. 1.4.1, URLhttps://doi.org/10.5281/zenodo.11245573

work page doi:10.5281/zenodo.11245573 2024
[19]

Hammer - helicity amplitude module for matrix element reweighting,

F. U. Bernlochneret al., “Hammer - helicity amplitude module for matrix element reweighting,” (2022), Ver. 1.3.0, URLhttps://doi.org/10.5281/zenodo.7007837

work page doi:10.5281/zenodo.7007837 2022
[20]

Hammer - helicity amplitude module for matrix element reweighting,

F. U. Bernlochneret al., “Hammer - helicity amplitude module for matrix element reweighting,” (2022), Ver. 1.2.1, URLhttps://doi.org/10.5281/zenodo.5828435

work page doi:10.5281/zenodo.5828435 2022
[21]

Hammer - helicity amplitude module for matrix element reweighting,

F. U. Bernlochneret al., “Hammer - helicity amplitude module for matrix element reweighting,” (2020), Ver. 1.1.0, URLhttps://doi.org/10.5281/zenodo.3993770

work page doi:10.5281/zenodo.3993770 2020
[22]

Hammer - helicity amplitude module for matrix element reweighting,

F. U. Bernlochneret al., “Hammer - helicity amplitude module for matrix element reweighting,” (2020), Ver. 1.0.0, URLhttps://doi.org/10.5281/zenodo.3722682

work page doi:10.5281/zenodo.3722682 2020
[23]

Strongly Coupled Charged Scalar in B and t Decays,

P. Krawczyk and S. Pokorski, “Strongly Coupled Charged Scalar in B and t Decays,” Phys. Rev. Lett.60, 182 (1988)

1988
[24]

Semileptonic Decays ofBMesons intoτ ντ,

P. Heiliger and L. M. Sehgal, “Semileptonic Decays ofBMesons intoτ ντ,” Phys. Lett.B229, 409 (1989)

1989
[25]

Semileptonic Decays ofBMesons intoτ ντ in a Two Higgs Doublet Model,

J. Kalinowski, “Semileptonic Decays ofBMesons intoτ ντ in a Two Higgs Doublet Model,” Phys. Lett.B245, 201 (1990)

1990
[26]

Solutions to the B meson semileptonic branching ratio puzzle within two Higgs doublet models,

B. Grzadkowski and W.-S. Hou, “Solutions to the B meson semileptonic branching ratio puzzle within two Higgs doublet models,” Phys. Lett.B272, 383 (1991)

1991
[27]

The Inclusive $\bar B\to \tau \bar\nu X$ Decay in Two Higgs Doublet Models

Y. Grossman and Z. Ligeti, “The Inclusive¯B→τ¯νXdecay in two Higgs doublet models,” Phys. Lett.B332, 373 (1994), [hep-ph/9403376]

work page internal anchor Pith review Pith/arXiv arXiv 1994
[28]

Charged Higgs Effects on Exclusive Semi-tauonic $\bbox{B}$ Decays

M. Tanaka, “Charged Higgs effects on exclusive semitauonicBdecays,” Z. Phys.C67, 321 (1995), [hep-ph/9411405]

work page internal anchor Pith review Pith/arXiv arXiv 1995
[29]

Semileptonic B decays as a probe of new physics,

W. D. Goldberger, “Semileptonic B decays as a probe of new physics,” (1999), [hep- ph/9902311]

work page arXiv 1999
[30]

Measurement of theb→τ −¯νXbranching ratio,

D. Buskulicet al.(ALEPH Collaboration), “Measurement of theb→τ −¯νXbranching ratio,” Phys. Lett.B298, 479 (1993)

1993
[31]

Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2023

S. Banerjeeet al.(Heavy Flavor Averaging Group (HFLAV)), “Averages of b-hadron, c-hadron, andτ-lepton properties as of 2023,” Phys. Rev. D113, 1, 012008 (2026), [arXiv:2411.18639]

work page internal anchor Pith review Pith/arXiv arXiv 2023
[32]

Review of Particle Physics,

F. Takahashiet al.(Particle Data Group), “Review of Particle Physics,” Int. J. Mod. Phys. A 41, 2630011 (2026)

2026
[33]

Measurement of an Excess of B -> D(*) Tau Nu Decays and Implications for Charged Higgs Bosons

J. P. Leeset al.(BaBar Collaboration), “Measurement of an Excess of ¯B→D (∗)τ −¯ντ Decays and Implications for Charged Higgs Bosons,” Phys. Rev.D88, 7, 072012 (2013), 51 [arXiv:1303.0571]

work page internal anchor Pith review Pith/arXiv arXiv 2013
[34]

Measurement of the ratio of branching fractionsB(¯B0 → D∗+τ −¯ντ)/B( ¯B0 →D ∗+µ−¯νµ),

R. Aaijet al.(LHCb Collaboration), “Measurement of the ratio of branching fractionsB(¯B0 → D∗+τ −¯ντ)/B( ¯B0 →D ∗+µ−¯νµ),” Phys. Rev. Lett.115, 11, 111803 (2015), [Addendum: Phys. Rev. Lett. 115, no.15, 159901 (2015)], [arXiv:1506.08614]

work page arXiv 2015
[35]

Measurement of the branching ratio of $\bar{B} \to D^{(\ast)} \tau^- \bar{\nu}_\tau$ relative to $\bar{B} \to D^{(\ast)} \ell^- \bar{\nu}_\ell$ decays with hadronic tagging at Belle

M. Huschleet al.(Belle Collaboration), “Measurement of the branching ratio of¯B→D (∗)τ −¯ντ relative to ¯B→D (∗)ℓ−¯νℓ decays with hadronic tagging at Belle,” Phys. Rev.D92, 7, 072014 (2015), [arXiv:1507.03233]

work page internal anchor Pith review Pith/arXiv arXiv 2015
[36]

Model-Independent Extraction of $|V_{cb}|$ from $\bar{B}\rightarrow D^* \ell \overline{\nu}$

B. Grinstein and A. Kobach, “Model-Independent Extraction of|Vcb|from ¯B→D ∗ℓν,” Phys. Lett.B771, 359 (2017), [arXiv:1703.08170]

work page internal anchor Pith review Pith/arXiv arXiv 2017
[37]

Model-Independent Determinations of B -> D l nu , D* l nu Form Factors

C. G. Boyd, B. Grinstein and R. F. Lebed, “Model independent determinations of ¯B→ Dl¯ν, D∗l¯νform-factors,” Nucl. Phys.B461, 493 (1996), [hep-ph/9508211]

work page internal anchor Pith review Pith/arXiv arXiv 1996
[38]

Precision Corrections to Dispersive Bounds on Form Factors

C. G. Boyd, B. Grinstein and R. F. Lebed, “Precision corrections to dispersive bounds on form-factors,” Phys. Rev.D56, 6895 (1997), [hep-ph/9705252]

work page internal anchor Pith review Pith/arXiv arXiv 1997
[39]

RooHammerModel: interfacing the HAMMER software tool with HistFactory and RooFit,

J. García Pardiñaset al., “RooHammerModel: interfacing the HAMMER software tool with HistFactory and RooFit,” JINST17, 04, T04006 (2022), [arXiv:2007.12605]

work page arXiv 2022
[40]

Redist, a python tool for model-agnostics binned-likelihood fits in high en- ergy physics,

M. Colonnaet al., “Redist, a python tool for model-agnostics binned-likelihood fits in high en- ergy physics,” Python in Science Conference, 2025 (2025), URLhttps://doi.org/10.25080/ ppgk2467

2025
[41]

Semileptonic Meson Decays in the Quark Model: An Update

D. Scora and N. Isgur, “Semileptonic meson decays in the quark model: An update,” Phys. Rev.D52, 2783 (1995), [hep-ph/9503486]

work page internal anchor Pith review Pith/arXiv arXiv 1995
[42]

Semileptonic B and D Decays in the Quark Model,

N. Isguret al., “Semileptonic B and D Decays in the Quark Model,” Phys. Rev.D39, 799 (1989)

1989
[43]

Dispersive Bounds on the Shape of B -> D^(*) l nu Form Factors

I. Caprini, L. Lellouch and M. Neubert, “Dispersive bounds on the shape of¯B→D (∗)ℓ¯ν form-factors,” Nucl. Phys.B530, 153 (1998), [hep-ph/9712417]

work page internal anchor Pith review Pith/arXiv arXiv 1998
[44]

Combined analysis of semileptonic $B$ decays to $D$ and $D^*$: $R(D^{(*)})$, $|V_{cb}|$, and new physics

F. U. Bernlochneret al., “Combined analysis of semileptonicBdecays toDandD ∗:R(D (∗)), |Vcb|, and new physics,” Phys. Rev.D95, 11, 115008 (2017), [arXiv:1703.05330]

work page internal anchor Pith review Pith/arXiv arXiv 2017
[45]

Constrained second-order power corrections in HQET:R(D(∗)),|V cb|, and new physics,

F. U. Bernlochneret al., “Constrained second-order power corrections in HQET:R(D(∗)),|V cb|, and new physics,” (2022), [arXiv:2206.11281]

work page arXiv 2022
[46]

Semileptonic B decays to excited charmed mesons

A. K. Leibovichet al., “Semileptonic B decays to excited charmed mesons,” Phys. Rev.D57, 308 (1998), [hep-ph/9705467]

work page internal anchor Pith review Pith/arXiv arXiv 1998
[47]

Model independent results for $B\to D_1(2420)\ell\bar\nu$ and $B\to D_2^*(2460)\ell\bar\nu$ at order $\Lambda_{QCD}/m_{c,b}$

A. K. Leibovichet al., “Model independent results forB→D1(2420)ℓ¯νandB→D ∗ 2(2460)ℓ¯ν at orderΛ QCD/mc,b,” Phys. Rev. Lett.78, 3995 (1997), [hep-ph/9703213]

work page internal anchor Pith review Pith/arXiv arXiv 1997
[48]

Model independent analysis of semileptonic $B$ decays to $D^{**}$ for arbitrary new physics

F. U. Bernlochner, Z. Ligeti and D. J. Robinson, “Model independent analysis of semileptonic Bdecays toD ∗∗ for arbitrary new physics,” (2017), [arXiv:1711.03110]

work page internal anchor Pith review Pith/arXiv arXiv 2017
[49]

Semileptonic $B_{(s)}$ decays to excited charmed mesons with $e,\mu,\tau$ and searching for new physics with $R(D^{**})$

F. U. Bernlochner and Z. Ligeti, “SemileptonicB(s) decays to excited charmed mesons with e, µ, τand searching for new physics withR(D ∗∗),” Phys. Rev.D95, 1, 014022 (2017), [arXiv:1606.09300]

work page internal anchor Pith review Pith/arXiv arXiv 2017
[50]

$B\to V\ell^+\ell^-$ in the Standard Model from Light-Cone Sum Rules

A.Bharucha, D.M.StraubandR.Zwicky, “B→V ℓ +ℓ− intheStandardModelfromlight-cone 52 sum rules,” JHEP08, 098 (2016), [arXiv:1503.05534]

work page internal anchor Pith review Pith/arXiv arXiv 2016
[51]

Semileptonic Decays of Heavy Lambda Baryons in a Quark Model

M. Pervin, W. Roberts and S. Capstick, “Semileptonic decays of heavy lambda baryons in a quark model,” Phys. Rev.C72, 035201 (2005), [arXiv:nucl-th/0503030]

work page internal anchor Pith review Pith/arXiv arXiv 2005
[52]

Precise predictions for $\Lambda_b \to \Lambda_c$ semileptonic decays

F. U. Bernlochneret al., “Precise predictions forΛb →Λ c semileptonic decays,” Phys. Rev. D99, 5, 055008 (2019), [arXiv:1812.07593]

work page internal anchor Pith review Pith/arXiv arXiv 2019
[53]

New predictions for $\Lambda_b\to\Lambda_c$ semileptonic decays and tests of heavy quark symmetry

F. U. Bernlochneret al., “New predictions forΛb →Λ c semileptonic decays and tests of heavy quark symmetry,” Phys. Rev. Lett.121, 20, 202001 (2018), [arXiv:1808.09464]

work page internal anchor Pith review Pith/arXiv arXiv 2018
[54]

Appraising constrained second-order power corrections in HQET withΛb →Λ clν,

F. U. Bernlochner, M. Papucci and D. J. Robinson, “Appraising constrained second-order power corrections in HQET withΛb →Λ clν,” (2023), [arXiv:2312.07758]

work page arXiv 2023
[55]

Semileptonic Lambda_b decay to excited Lambda_c baryons at order Lambda_{QCD}/m_Q

A. K. Leibovich and I. W. Stewart, “Semileptonic Lambda(b) decay to excited Lambda(c) baryons at order Lambda(QCD) / m(Q),” Phys. Rev.D57, 5620 (1998), [hep-ph/9711257]

work page internal anchor Pith review Pith/arXiv arXiv 1998
[56]

Form Factor Counting and HQET Matching for New Physics inΛ b →Λ ∗ clν,

M. Papucci and D. J. Robinson, “Form Factor Counting and HQET Matching for New Physics inΛ b →Λ ∗ clν,” (2021), [arXiv:2105.09330]

work page arXiv 2021
[57]

Exclusive decays and lifetime ofBc meson in QCD sum rules,

V. Kiselev, “Exclusive decays and lifetime ofBc meson in QCD sum rules,” (2002), [hep- ph/0211021]

work page arXiv 2002
[58]

Weak decays of the B_c meson to charmonium and D mesons in the relativistic quark model

D. Ebert, R. Faustov and V. Galkin, “Weak decays of theBc meson to charmonium andD mesons in the relativistic quark model,” Phys. Rev. D68, 094020 (2003), [hep-ph/0306306]

work page internal anchor Pith review Pith/arXiv arXiv 2003
[59]

Precision Model-Independent Bounds from Global Analysis ofb→cℓνForm Factors,

T. D. Cohen, H. Lamm and R. F. Lebed, “Precision Model-Independent Bounds from Global Analysis ofb→cℓνForm Factors,” Phys. Rev. D100, 9, 094503 (2019), [arXiv:1909.10691]

work page arXiv 2019
[60]

$|V_{ub}|$ from $B\to\pi\ell\nu$ decays and (2+1)-flavor lattice QCD

J. A. Baileyet al.(Fermilab Lattice, MILC), “|Vub|fromB→πℓνdecays and (2+1)-flavor lattice QCD,” Phys. Rev. D92, 1, 014024 (2015), [arXiv:1503.07839]

work page internal anchor Pith review Pith/arXiv arXiv 2015
[61]

Gubernari, A

N. Gubernari, A. Kokulu and D. van Dyk, “B→PandB→VForm Factors fromB-Meson Light-Cone Sum Rules beyond Leading Twist,” JHEP01, 150 (2019), [arXiv:1811.00983]

work page arXiv 2019
[62]

FLAG Review 2021,

Y. Aokiet al.(Flavour Lattice Averaging Group (FLAG)), “FLAG Review 2021,” Eur. Phys. J. C82, 10, 869 (2022), [arXiv:2111.09849]

work page arXiv 2021
[63]

Bs →D sℓνForm Factors for the fullq2 range from Lattice QCD with non- perturbatively normalized currents,

E. McLeanet al., “Bs →D sℓνForm Factors for the fullq2 range from Lattice QCD with non- perturbatively normalized currents,” Phys. Rev. D101, 7, 074513 (2020), [arXiv:1906.00701]

work page arXiv 2020
[64]

Structure functions in tau decays,

J. H. Kuhn and E. Mirkes, “Structure functions in tau decays,” Z. Phys.C56, 661 (1992), [Erratum: Z. Phys.C67,364(1995)]

1992
[65]

Resonance chiral Lagrangian currents and tau decay Monte Carlo

O. Shekhovtsovaet al., “Resonance chiral Lagrangian currents andτdecay Monte Carlo,” Phys. Rev.D86, 113008 (2012), [arXiv:1203.3955]

work page internal anchor Pith review Pith/arXiv arXiv 2012
[66]

Resonance Chiral Lagrangian Currents and Experimental Data for $\tau^-\to\pi^{-}\pi^{-}\pi^{+}\nu_{\tau}$

I. M. Nugentet al., “Resonance chiral Lagrangian currents and experimental data forτ− → π−π−π+ντ,” Phys. Rev.D88, 093012 (2013), [arXiv:1310.1053]

work page internal anchor Pith review Pith/arXiv arXiv 2013
[67]

Photos — a universal monte carlo for qed radiative corrections in decays,

E. Barberio, B. van Eijk and Z. W¸ as, “Photos — a universal monte carlo for qed radiative corrections in decays,” Computer Physics Communications66, 1, 115 (1991), ISSN 0010-4655, URLhttp://www.sciencedirect.com/science/article/pii/001046559190012A

work page arXiv 1991
[68]

New Physics in the Visible Final States of $B\to D^{(*)}\tau\nu$

Z. Ligeti, M. Papucci and D. J. Robinson, “New Physics in the Visible Final States ofB→ D(∗)τ ν,” JHEP01, 083 (2017), [arXiv:1610.02045]. 53

work page internal anchor Pith review Pith/arXiv arXiv 2017
[69]

Second Order Power Corrections in the Heavy Quark Effective Theory II. Baryon Form Factors

A. F. Falk and M. Neubert, “Second order power corrections in the heavy quark effective theory. 2. Baryon form-factors,” Phys. Rev.D47, 2982 (1993), [hep-ph/9209269]

work page internal anchor Pith review Pith/arXiv arXiv 1993
[70]

Phenomenology of Heavy Meson Chiral Lagrangians

R. Casalbuoniet al., “Phenomenology of heavy meson chiral Lagrangians,” Phys. Rept.281, 145 (1997), [hep-ph/9605342]

work page internal anchor Pith review Pith/arXiv arXiv 1997
[71]

Excited charmed mesons in chiral perturbation theory,

U. Kilian, J. G. Korner and D. Pirjol, “Excited charmed mesons in chiral perturbation theory,” Phys. Lett. B288, 360 (1992)

1992
[72]

Heavy quark symmetry and D1 (2420) —> D* pi decay,

M. Lu, M. B. Wise and N. Isgur, “Heavy quark symmetry and D1 (2420) —> D* pi decay,” Phys. Rev. D45, 1553 (1992)

1992
[73]

EvtGen: A Monte Carlo Generator for B-Physics,

A. Rydet al., “EvtGen: A Monte Carlo Generator for B-Physics,” (2005). 54

2005

[1] [1]

Scheme1"or

Adding A histogram is declared byHammer::addHistogram, which takes as arguments a name string and either: a vector of dimensions, a bool for under/overflow and a vector of ranges; or a vector of bin edges and a bool for under/overflow. The methodaddHistogramdoes not create a single histogram, but rather ahistogram set: A separate histogram is created for ...

[2] [2]

q2VsEmu", {4., 0.5}); fills the appropriate bin element for the

Filling Filling of histograms for a specific event is performed byHammer::fillEventHistogram, which takes the histogram name and the values of the observables corresponding to each 6 Because of histogram compression functionality discussed in Sec. IIIM3 below, histograms are in practice indexed by aevent ID group, which is a set of event IDs: Without comp...

[3] [3]

Computing and storing only the latter compressed form permits both speed gains and space savings

Compression In many use cases, the entire histogram set is not required, but rather its direct sum. Computing and storing only the latter compressed form permits both speed gains and space savings. The methodHammer::collapseProcessesInHistogramtakes a name of a histogram, and causes all members of the histogram set containing the same tensor structures to...

[4] [4]

q2VsEmu",

(Partial) specialization A declared WC specialization (see Sec. IIIK) may be applied to a particular histogram viaHammer::applyWCSpecializationInHistogram, which takes the name of the histogram and the name of the specialization as arguments. For example, ham.applyWCSpecializationInHistogram("q2VsEmu", "JM"); This method should be applied beforeinitRun, a...

[5] [5]

BtoCTauNu

Retrieval Once all events or histograms have been processed (or reloaded from a file, see Sec. IV) the user may retrieve a specific histogram via the methodHammer::getHistogram, which takes a histogram name and a FF scheme name. NP choices must be specified first via setWilsonCoefficients, as must FF uncertainties viasetFFEigenvectorsif a parametrization ...

[6] [6]

Histos: {KeepErrors: true}

Uncertainties Computation of the weight-squared uncertainties (accessed from theBinContentsstruct viasumWi2) is off by default. This may be enabled globally via the options setting ham.setOptions("Histos: {KeepErrors: true}"). However, for computational speed and/or memory efficiency, it may be instead enabled or disabled for individual histograms via Ham...

[7] [7]

q2VsEmuVsM2miss

Projection On occasion, it may be useful to project a pre-computedn-dimensional histogram onto a lower-dimensional one. This can be achieved via the methodcreateProjectedHistogram, which takes the name of the originaln-dimensional histogram, the name of the new histogram to be created, and a set of the index positions to be summed over or collapsed. For i...

[8] [8]

For example, 36 outFile << ham.saveRunHeader(); writes the declared run header, with all its settings, into anIOBufferand passes it as a record into the buffer

Headers, events and rates The methodsHammer::save...return aIOBuffer, which can be stored as a sequential record in the stream via an insertion (<<) operator. For example, 36 outFile << ham.saveRunHeader(); writes the declared run header, with all its settings, into anIOBufferand passes it as a record into the buffer. The available record types are labell...

[9] [9]

q2VsEmu"); saves all the unique

Histograms The methodsaveHistogram, when taking only a histogram name as an argument, saves the entire specified histogram set. The return value is the containerHammer::IOBuffers. An operator <<overload forIOBuffersallows to save all its entries at once (each histogram in a histogram set occupies an individual buffer record). For example, outFile << ham.s...

[10] [10]

/DemoSave.dat

ROOT Saving a buffer inROOTformat is achieved by passing theIOBufferoutput of thesave... methods into aRootIOBuffer, which may then be stored in aROOTTTree. Explicit implemen- tations of this functionality are provided in variousdemo...root.ccexample programs. B. (Re)loading BufferrecordsmaybeloadedfromadeclaredifstreaminfileintoanIOBufferviaanistream ope...

[11] [11]

The NP couplings to the quark and lepton currents are denoted byχi j andλ i j, respectively, and may in general be complex numbers

NP operator basis A complete basis for the four-Fermi operators mediatingb→c¯ℓνdecay, including right- handed neutrinos, is shown in Table VII. The NP couplings to the quark and lepton currents are denoted byχi j andλ i j, respectively, and may in general be complex numbers. The lower index ofλdenotes theνhelicity and the lower index ofχis that of thebqua...

[12] [12]

Lorentz signs For all amplitudes encoded intoHammer, we use a trace−2metric, and the Lorentz sign conventions Tr[γµγνγσγργ5] =−4iϵ µνρσ , ϵ 0123 = +1.(A2) These choices fully specify all other possible ambiguous signs, for example theγ5 trace choice is equivalent toσµνγ5 ≡+ i 2 ϵµνρσ σρσ, withσ µν = i 2[γµ, γν]

[13] [13]

Form factor definitions a. B→D The B→Dform factor tensor has ordered components FFD = n fS, f 0, f +, f T o ,(A3) which are defined via D ¯c b B ≡f S ,(A4a) D ¯cγµb B ≡f +(pB +p D)µ + [f0 −f +] m2 B −m 2 D q2 qµ ,(A4b) D ¯cσµνb B ≡if T h (pB +p D)µqν −(p B +p D)νqµ i .(A4c) These definitions map to the conventional dimensionless form factor sethS, h+, h−,...

[14] [14]

delta_a0

Form factor variations At present, e.g. theBGLVarparametrization permits viasetFFEigenvectorsfunctionality (see Sec. IIII) direct manipulation of thea i,b i,c i andd i parameters forB→D ∗ (also denoteda g i,a f i,a F1 i anda P1 i , respectively, in some notational conventions). That is, the covariance matrix is set to the identity, and the basis of variat...

[15] [15]

These (somewhat arbitrary) lineshape models typically factorize from the decay amplitudes themselves, and are generically invariant under reweighting

Resonance lineshapes EvtGenincludes additional momentum and angular momentum dependent models for resonance lineshapes, which can be numerically non-negligible for broad resonances such as theD ∗∗. These (somewhat arbitrary) lineshape models typically factorize from the decay amplitudes themselves, and are generically invariant under reweighting. They are...

[16] [16]

Das ist der HAMMER: Consistent new physics interpretations of semileptonic decays,

F. U. Bernlochneret al., “Das ist der HAMMER: Consistent new physics interpretations of semileptonic decays,” Eur. Phys. J. C80, 9, 883 (2020), [arXiv:2002.00020]

work page arXiv 2020

[17] [17]

Hammer - helicity amplitude module for matrix element reweighting,

F. U. Bernlochneret al., “Hammer - helicity amplitude module for matrix element reweighting,” (2026), Ver. 2.0.0, URLhttps://doi.org/10.5281/zenodo.20716678

work page doi:10.5281/zenodo.20716678 2026

[18] [18]

Hammer - helicity amplitude module for matrix element reweighting,

F. U. Bernlochneret al., “Hammer - helicity amplitude module for matrix element reweighting,” (2024), Ver. 1.4.1, URLhttps://doi.org/10.5281/zenodo.11245573

work page doi:10.5281/zenodo.11245573 2024

[19] [19]

Hammer - helicity amplitude module for matrix element reweighting,

F. U. Bernlochneret al., “Hammer - helicity amplitude module for matrix element reweighting,” (2022), Ver. 1.3.0, URLhttps://doi.org/10.5281/zenodo.7007837

work page doi:10.5281/zenodo.7007837 2022

[20] [20]

Hammer - helicity amplitude module for matrix element reweighting,

F. U. Bernlochneret al., “Hammer - helicity amplitude module for matrix element reweighting,” (2022), Ver. 1.2.1, URLhttps://doi.org/10.5281/zenodo.5828435

work page doi:10.5281/zenodo.5828435 2022

[21] [21]

Hammer - helicity amplitude module for matrix element reweighting,

F. U. Bernlochneret al., “Hammer - helicity amplitude module for matrix element reweighting,” (2020), Ver. 1.1.0, URLhttps://doi.org/10.5281/zenodo.3993770

work page doi:10.5281/zenodo.3993770 2020

[22] [22]

Hammer - helicity amplitude module for matrix element reweighting,

F. U. Bernlochneret al., “Hammer - helicity amplitude module for matrix element reweighting,” (2020), Ver. 1.0.0, URLhttps://doi.org/10.5281/zenodo.3722682

work page doi:10.5281/zenodo.3722682 2020

[23] [23]

Strongly Coupled Charged Scalar in B and t Decays,

P. Krawczyk and S. Pokorski, “Strongly Coupled Charged Scalar in B and t Decays,” Phys. Rev. Lett.60, 182 (1988)

1988

[24] [24]

Semileptonic Decays ofBMesons intoτ ντ,

P. Heiliger and L. M. Sehgal, “Semileptonic Decays ofBMesons intoτ ντ,” Phys. Lett.B229, 409 (1989)

1989

[25] [25]

Semileptonic Decays ofBMesons intoτ ντ in a Two Higgs Doublet Model,

J. Kalinowski, “Semileptonic Decays ofBMesons intoτ ντ in a Two Higgs Doublet Model,” Phys. Lett.B245, 201 (1990)

1990

[26] [26]

Solutions to the B meson semileptonic branching ratio puzzle within two Higgs doublet models,

B. Grzadkowski and W.-S. Hou, “Solutions to the B meson semileptonic branching ratio puzzle within two Higgs doublet models,” Phys. Lett.B272, 383 (1991)

1991

[27] [27]

The Inclusive $\bar B\to \tau \bar\nu X$ Decay in Two Higgs Doublet Models

Y. Grossman and Z. Ligeti, “The Inclusive¯B→τ¯νXdecay in two Higgs doublet models,” Phys. Lett.B332, 373 (1994), [hep-ph/9403376]

work page internal anchor Pith review Pith/arXiv arXiv 1994

[28] [28]

Charged Higgs Effects on Exclusive Semi-tauonic $\bbox{B}$ Decays

M. Tanaka, “Charged Higgs effects on exclusive semitauonicBdecays,” Z. Phys.C67, 321 (1995), [hep-ph/9411405]

work page internal anchor Pith review Pith/arXiv arXiv 1995

[29] [29]

Semileptonic B decays as a probe of new physics,

W. D. Goldberger, “Semileptonic B decays as a probe of new physics,” (1999), [hep- ph/9902311]

work page arXiv 1999

[30] [30]

Measurement of theb→τ −¯νXbranching ratio,

D. Buskulicet al.(ALEPH Collaboration), “Measurement of theb→τ −¯νXbranching ratio,” Phys. Lett.B298, 479 (1993)

1993

[31] [31]

Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2023

S. Banerjeeet al.(Heavy Flavor Averaging Group (HFLAV)), “Averages of b-hadron, c-hadron, andτ-lepton properties as of 2023,” Phys. Rev. D113, 1, 012008 (2026), [arXiv:2411.18639]

work page internal anchor Pith review Pith/arXiv arXiv 2023

[32] [32]

Review of Particle Physics,

F. Takahashiet al.(Particle Data Group), “Review of Particle Physics,” Int. J. Mod. Phys. A 41, 2630011 (2026)

2026

[33] [33]

Measurement of an Excess of B -> D(*) Tau Nu Decays and Implications for Charged Higgs Bosons

J. P. Leeset al.(BaBar Collaboration), “Measurement of an Excess of ¯B→D (∗)τ −¯ντ Decays and Implications for Charged Higgs Bosons,” Phys. Rev.D88, 7, 072012 (2013), 51 [arXiv:1303.0571]

work page internal anchor Pith review Pith/arXiv arXiv 2013

[34] [34]

Measurement of the ratio of branching fractionsB(¯B0 → D∗+τ −¯ντ)/B( ¯B0 →D ∗+µ−¯νµ),

R. Aaijet al.(LHCb Collaboration), “Measurement of the ratio of branching fractionsB(¯B0 → D∗+τ −¯ντ)/B( ¯B0 →D ∗+µ−¯νµ),” Phys. Rev. Lett.115, 11, 111803 (2015), [Addendum: Phys. Rev. Lett. 115, no.15, 159901 (2015)], [arXiv:1506.08614]

work page arXiv 2015

[35] [35]

Measurement of the branching ratio of $\bar{B} \to D^{(\ast)} \tau^- \bar{\nu}_\tau$ relative to $\bar{B} \to D^{(\ast)} \ell^- \bar{\nu}_\ell$ decays with hadronic tagging at Belle

M. Huschleet al.(Belle Collaboration), “Measurement of the branching ratio of¯B→D (∗)τ −¯ντ relative to ¯B→D (∗)ℓ−¯νℓ decays with hadronic tagging at Belle,” Phys. Rev.D92, 7, 072014 (2015), [arXiv:1507.03233]

work page internal anchor Pith review Pith/arXiv arXiv 2015

[36] [36]

Model-Independent Extraction of $|V_{cb}|$ from $\bar{B}\rightarrow D^* \ell \overline{\nu}$

B. Grinstein and A. Kobach, “Model-Independent Extraction of|Vcb|from ¯B→D ∗ℓν,” Phys. Lett.B771, 359 (2017), [arXiv:1703.08170]

work page internal anchor Pith review Pith/arXiv arXiv 2017

[37] [37]

Model-Independent Determinations of B -> D l nu , D* l nu Form Factors

C. G. Boyd, B. Grinstein and R. F. Lebed, “Model independent determinations of ¯B→ Dl¯ν, D∗l¯νform-factors,” Nucl. Phys.B461, 493 (1996), [hep-ph/9508211]

work page internal anchor Pith review Pith/arXiv arXiv 1996

[38] [38]

Precision Corrections to Dispersive Bounds on Form Factors

C. G. Boyd, B. Grinstein and R. F. Lebed, “Precision corrections to dispersive bounds on form-factors,” Phys. Rev.D56, 6895 (1997), [hep-ph/9705252]

work page internal anchor Pith review Pith/arXiv arXiv 1997

[39] [39]

RooHammerModel: interfacing the HAMMER software tool with HistFactory and RooFit,

J. García Pardiñaset al., “RooHammerModel: interfacing the HAMMER software tool with HistFactory and RooFit,” JINST17, 04, T04006 (2022), [arXiv:2007.12605]

work page arXiv 2022

[40] [40]

Redist, a python tool for model-agnostics binned-likelihood fits in high en- ergy physics,

M. Colonnaet al., “Redist, a python tool for model-agnostics binned-likelihood fits in high en- ergy physics,” Python in Science Conference, 2025 (2025), URLhttps://doi.org/10.25080/ ppgk2467

2025

[41] [41]

Semileptonic Meson Decays in the Quark Model: An Update

D. Scora and N. Isgur, “Semileptonic meson decays in the quark model: An update,” Phys. Rev.D52, 2783 (1995), [hep-ph/9503486]

work page internal anchor Pith review Pith/arXiv arXiv 1995

[42] [42]

Semileptonic B and D Decays in the Quark Model,

N. Isguret al., “Semileptonic B and D Decays in the Quark Model,” Phys. Rev.D39, 799 (1989)

1989

[43] [43]

Dispersive Bounds on the Shape of B -> D^(*) l nu Form Factors

I. Caprini, L. Lellouch and M. Neubert, “Dispersive bounds on the shape of¯B→D (∗)ℓ¯ν form-factors,” Nucl. Phys.B530, 153 (1998), [hep-ph/9712417]

work page internal anchor Pith review Pith/arXiv arXiv 1998

[44] [44]

Combined analysis of semileptonic $B$ decays to $D$ and $D^*$: $R(D^{(*)})$, $|V_{cb}|$, and new physics

F. U. Bernlochneret al., “Combined analysis of semileptonicBdecays toDandD ∗:R(D (∗)), |Vcb|, and new physics,” Phys. Rev.D95, 11, 115008 (2017), [arXiv:1703.05330]

work page internal anchor Pith review Pith/arXiv arXiv 2017

[45] [45]

Constrained second-order power corrections in HQET:R(D(∗)),|V cb|, and new physics,

F. U. Bernlochneret al., “Constrained second-order power corrections in HQET:R(D(∗)),|V cb|, and new physics,” (2022), [arXiv:2206.11281]

work page arXiv 2022

[46] [46]

Semileptonic B decays to excited charmed mesons

A. K. Leibovichet al., “Semileptonic B decays to excited charmed mesons,” Phys. Rev.D57, 308 (1998), [hep-ph/9705467]

work page internal anchor Pith review Pith/arXiv arXiv 1998

[47] [47]

Model independent results for $B\to D_1(2420)\ell\bar\nu$ and $B\to D_2^*(2460)\ell\bar\nu$ at order $\Lambda_{QCD}/m_{c,b}$

A. K. Leibovichet al., “Model independent results forB→D1(2420)ℓ¯νandB→D ∗ 2(2460)ℓ¯ν at orderΛ QCD/mc,b,” Phys. Rev. Lett.78, 3995 (1997), [hep-ph/9703213]

work page internal anchor Pith review Pith/arXiv arXiv 1997

[48] [48]

Model independent analysis of semileptonic $B$ decays to $D^{**}$ for arbitrary new physics

F. U. Bernlochner, Z. Ligeti and D. J. Robinson, “Model independent analysis of semileptonic Bdecays toD ∗∗ for arbitrary new physics,” (2017), [arXiv:1711.03110]

work page internal anchor Pith review Pith/arXiv arXiv 2017

[49] [49]

Semileptonic $B_{(s)}$ decays to excited charmed mesons with $e,\mu,\tau$ and searching for new physics with $R(D^{**})$

F. U. Bernlochner and Z. Ligeti, “SemileptonicB(s) decays to excited charmed mesons with e, µ, τand searching for new physics withR(D ∗∗),” Phys. Rev.D95, 1, 014022 (2017), [arXiv:1606.09300]

work page internal anchor Pith review Pith/arXiv arXiv 2017

[50] [50]

$B\to V\ell^+\ell^-$ in the Standard Model from Light-Cone Sum Rules

A.Bharucha, D.M.StraubandR.Zwicky, “B→V ℓ +ℓ− intheStandardModelfromlight-cone 52 sum rules,” JHEP08, 098 (2016), [arXiv:1503.05534]

work page internal anchor Pith review Pith/arXiv arXiv 2016

[51] [51]

Semileptonic Decays of Heavy Lambda Baryons in a Quark Model

M. Pervin, W. Roberts and S. Capstick, “Semileptonic decays of heavy lambda baryons in a quark model,” Phys. Rev.C72, 035201 (2005), [arXiv:nucl-th/0503030]

work page internal anchor Pith review Pith/arXiv arXiv 2005

[52] [52]

Precise predictions for $\Lambda_b \to \Lambda_c$ semileptonic decays

F. U. Bernlochneret al., “Precise predictions forΛb →Λ c semileptonic decays,” Phys. Rev. D99, 5, 055008 (2019), [arXiv:1812.07593]

work page internal anchor Pith review Pith/arXiv arXiv 2019

[53] [53]

New predictions for $\Lambda_b\to\Lambda_c$ semileptonic decays and tests of heavy quark symmetry

F. U. Bernlochneret al., “New predictions forΛb →Λ c semileptonic decays and tests of heavy quark symmetry,” Phys. Rev. Lett.121, 20, 202001 (2018), [arXiv:1808.09464]

work page internal anchor Pith review Pith/arXiv arXiv 2018

[54] [54]

Appraising constrained second-order power corrections in HQET withΛb →Λ clν,

F. U. Bernlochner, M. Papucci and D. J. Robinson, “Appraising constrained second-order power corrections in HQET withΛb →Λ clν,” (2023), [arXiv:2312.07758]

work page arXiv 2023

[55] [55]

Semileptonic Lambda_b decay to excited Lambda_c baryons at order Lambda_{QCD}/m_Q

A. K. Leibovich and I. W. Stewart, “Semileptonic Lambda(b) decay to excited Lambda(c) baryons at order Lambda(QCD) / m(Q),” Phys. Rev.D57, 5620 (1998), [hep-ph/9711257]

work page internal anchor Pith review Pith/arXiv arXiv 1998

[56] [56]

Form Factor Counting and HQET Matching for New Physics inΛ b →Λ ∗ clν,

M. Papucci and D. J. Robinson, “Form Factor Counting and HQET Matching for New Physics inΛ b →Λ ∗ clν,” (2021), [arXiv:2105.09330]

work page arXiv 2021

[57] [57]

Exclusive decays and lifetime ofBc meson in QCD sum rules,

V. Kiselev, “Exclusive decays and lifetime ofBc meson in QCD sum rules,” (2002), [hep- ph/0211021]

work page arXiv 2002

[58] [58]

Weak decays of the B_c meson to charmonium and D mesons in the relativistic quark model

D. Ebert, R. Faustov and V. Galkin, “Weak decays of theBc meson to charmonium andD mesons in the relativistic quark model,” Phys. Rev. D68, 094020 (2003), [hep-ph/0306306]

work page internal anchor Pith review Pith/arXiv arXiv 2003

[59] [59]

Precision Model-Independent Bounds from Global Analysis ofb→cℓνForm Factors,

T. D. Cohen, H. Lamm and R. F. Lebed, “Precision Model-Independent Bounds from Global Analysis ofb→cℓνForm Factors,” Phys. Rev. D100, 9, 094503 (2019), [arXiv:1909.10691]

work page arXiv 2019

[60] [60]

$|V_{ub}|$ from $B\to\pi\ell\nu$ decays and (2+1)-flavor lattice QCD

J. A. Baileyet al.(Fermilab Lattice, MILC), “|Vub|fromB→πℓνdecays and (2+1)-flavor lattice QCD,” Phys. Rev. D92, 1, 014024 (2015), [arXiv:1503.07839]

work page internal anchor Pith review Pith/arXiv arXiv 2015

[61] [61]

Gubernari, A

N. Gubernari, A. Kokulu and D. van Dyk, “B→PandB→VForm Factors fromB-Meson Light-Cone Sum Rules beyond Leading Twist,” JHEP01, 150 (2019), [arXiv:1811.00983]

work page arXiv 2019

[62] [62]

FLAG Review 2021,

Y. Aokiet al.(Flavour Lattice Averaging Group (FLAG)), “FLAG Review 2021,” Eur. Phys. J. C82, 10, 869 (2022), [arXiv:2111.09849]

work page arXiv 2021

[63] [63]

Bs →D sℓνForm Factors for the fullq2 range from Lattice QCD with non- perturbatively normalized currents,

E. McLeanet al., “Bs →D sℓνForm Factors for the fullq2 range from Lattice QCD with non- perturbatively normalized currents,” Phys. Rev. D101, 7, 074513 (2020), [arXiv:1906.00701]

work page arXiv 2020

[64] [64]

Structure functions in tau decays,

J. H. Kuhn and E. Mirkes, “Structure functions in tau decays,” Z. Phys.C56, 661 (1992), [Erratum: Z. Phys.C67,364(1995)]

1992

[65] [65]

Resonance chiral Lagrangian currents and tau decay Monte Carlo

O. Shekhovtsovaet al., “Resonance chiral Lagrangian currents andτdecay Monte Carlo,” Phys. Rev.D86, 113008 (2012), [arXiv:1203.3955]

work page internal anchor Pith review Pith/arXiv arXiv 2012

[66] [66]

Resonance Chiral Lagrangian Currents and Experimental Data for $\tau^-\to\pi^{-}\pi^{-}\pi^{+}\nu_{\tau}$

I. M. Nugentet al., “Resonance chiral Lagrangian currents and experimental data forτ− → π−π−π+ντ,” Phys. Rev.D88, 093012 (2013), [arXiv:1310.1053]

work page internal anchor Pith review Pith/arXiv arXiv 2013

[67] [67]

Photos — a universal monte carlo for qed radiative corrections in decays,

E. Barberio, B. van Eijk and Z. W¸ as, “Photos — a universal monte carlo for qed radiative corrections in decays,” Computer Physics Communications66, 1, 115 (1991), ISSN 0010-4655, URLhttp://www.sciencedirect.com/science/article/pii/001046559190012A

work page arXiv 1991

[68] [68]

New Physics in the Visible Final States of $B\to D^{(*)}\tau\nu$

Z. Ligeti, M. Papucci and D. J. Robinson, “New Physics in the Visible Final States ofB→ D(∗)τ ν,” JHEP01, 083 (2017), [arXiv:1610.02045]. 53

work page internal anchor Pith review Pith/arXiv arXiv 2017

[69] [69]

Second Order Power Corrections in the Heavy Quark Effective Theory II. Baryon Form Factors

A. F. Falk and M. Neubert, “Second order power corrections in the heavy quark effective theory. 2. Baryon form-factors,” Phys. Rev.D47, 2982 (1993), [hep-ph/9209269]

work page internal anchor Pith review Pith/arXiv arXiv 1993

[70] [70]

Phenomenology of Heavy Meson Chiral Lagrangians

R. Casalbuoniet al., “Phenomenology of heavy meson chiral Lagrangians,” Phys. Rept.281, 145 (1997), [hep-ph/9605342]

work page internal anchor Pith review Pith/arXiv arXiv 1997

[71] [71]

Excited charmed mesons in chiral perturbation theory,

U. Kilian, J. G. Korner and D. Pirjol, “Excited charmed mesons in chiral perturbation theory,” Phys. Lett. B288, 360 (1992)

1992

[72] [72]

Heavy quark symmetry and D1 (2420) —> D* pi decay,

M. Lu, M. B. Wise and N. Isgur, “Heavy quark symmetry and D1 (2420) —> D* pi decay,” Phys. Rev. D45, 1553 (1992)

1992

[73] [73]

EvtGen: A Monte Carlo Generator for B-Physics,

A. Rydet al., “EvtGen: A Monte Carlo Generator for B-Physics,” (2005). 54

2005