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arxiv: 2605.21291 · v1 · pith:RJVG6IQGnew · submitted 2026-05-20 · ✦ hep-ph · hep-ex· hep-lat

Impact of Hadronic Resonances on Bto K^((*))τ^+τ^- decays

Guillermo Balt\`a , Andreas Crivellin , Rafel Escribano , Joaquim Matias , Mart\'in Novoa-Brunet This is my paper

Pith reviewed 2026-05-21 03:52 UTC · model grok-4.3

classification ✦ hep-ph hep-exhep-lat
keywords B meson decaystau leptonshadronic resonancessemileptonic decaysnew physicsbranching ratiosLHCb measurements
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0 comments X

The pith

Resonant contributions from states like the ψ(2S) substantially raise the Standard Model predictions for B to K(*) tau tau decays when integrated over the full q² range.

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

The paper includes resonant effects that appear across the dilepton mass spectrum in B to K(*) tau+ tau- decays rather than trying to cut them out. Because tau decays produce missing energy, q² is harder to reconstruct than in muon modes, so the authors use LHCb data on the muon channels to scale the resonant pieces into the tau predictions while keeping the same hadronic structure. This data-driven inclusion boosts the expected rates under the Standard Model. Yet when new physics contributions are large enough to address tensions in R(D*) and related modes, the short-distance part can again become comparable to or larger than the resonant part. The approach opens the use of hadron-collider data where resonances cannot be resolved and exploits extra phase space for testing sizable new physics.

Core claim

The authors adopt a data-driven strategy that folds resonant contributions, especially from the ψ(2S), directly into the branching-ratio predictions for B→K(*)τ⁺τ⁻ by rescaling LHCb measurements of the corresponding muon modes. When the integration covers the entire q² spectrum, these resonances markedly increase the Standard Model expectations. For new-physics scenarios large enough to explain current anomalies in R(D(*)) and B→K(*)νν, however, the short-distance contribution regains dominance over the resonant one.

What carries the argument

Data-driven scaling of resonant contributions observed in B→K(*)μ⁺μ⁻ decays to the tau modes, preserving hadronic matrix elements and form-factor structure over the full q² range.

If this is right

  • Predictions are supplied at convenient kinematic points (4m_τ², 14.18 GeV² and 15 GeV²) for LHCb, CMS and Belle II analyses.
  • Including resonances allows the full phase space to be used, increasing sensitivity to large new-physics contributions.
  • The total branching ratio is quantified as a function of new-physics strength and experimental precision.
  • Hadron-collider data, where q² resolution cannot separate resonances, can still be interpreted with this inclusive approach.

Where Pith is reading between the lines

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

  • The same scaling technique could be tested on other rare b→sℓℓ modes where resonance pollution is also difficult to remove.
  • If future data show that resonance-to-short-distance ratios differ between muon and tau channels, the assumption of universal hadronic factors would need refinement.
  • This inclusive method may become the default strategy for interpreting any b→sττ signal at hadron colliders once statistics improve.

Load-bearing premise

The resonant contributions measured in the muon modes transfer to the tau modes by a simple scaling that leaves the hadronic matrix elements and form factors unchanged across the entire q² spectrum.

What would settle it

A precise measurement of the integrated B→Kτ⁺τ⁻ branching ratio lying well below the resonance-enhanced Standard Model value but still above the short-distance-only prediction would contradict the scaling procedure.

Figures

Figures reproduced from arXiv: 2605.21291 by Andreas Crivellin, Guillermo Balt\`a, Joaquim Matias, Mart\'in Novoa-Brunet, Rafel Escribano.

Figure 1
Figure 1. Figure 1: FIG. 1. Differential [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Same as Fig [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Left: Central value and 1 [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Predictions for [PITH_FULL_IMAGE:figures/full_fig_p006_4.png] view at source ↗
read the original abstract

Neutral-current semileptonic $B$ decays are plagued by hadronic resonances across the dilepton invariant-mass squared spectrum, $q^2$. For light leptons, $\ell=e,\mu$, these resonances can be avoided with suitable $q^2$ cuts. This strategy is less straightforward for $\tau$ modes, where missing energy from the $\tau$ decay makes $q^2$ difficult to reconstruct. In fact, while Belle II is able to discriminate between different regions in $q^2$ due to its clean environment, this is not directly possible in a hadronic one. Therefore, the interpretation of $b\to s\tau^+\tau^-$ measurements from e.g. LHCb, CMS requires the description of these resonant effects. In this article, we adopt a different strategy by including the resonant contributions (in particular from $\psi(2S)$) into our predictions for $B\to K^{(*)}\tau^+\tau^-$ decays, instead of avoiding them. We provide predictions for different initial kinematic points ($4m_\tau^2, 14.18\,$GeV$^2$ and $15\,$GeV$^2$) that can be convenient for LHCb, CMS and Belle II. For this, we use a data-driven approach based on the LHCb measurements of $B\to K^{(*)}\mu^+\mu^-$ decays. Including the resonances and integrating over the full $q^2$ range substantially enhances the Standard Model predictions. However, for sufficiently large New Physics, motivated by the current tensions in $R(D^{(*)})$ and $B\to K^{(*)}\nu\nu$ decays, the short-distance contribution becomes comparable to or even exceeds the resonant one. This highlights two advantages of this strategy: it exploits the additional phase space associated with the resonant regions to probe large New Physics contributions, and it enables the use of hadron-collider data, where the resonances cannot be resolved. We further quantify how including or neglecting the resonances affects the total branching ratio as a function of New Physics contributions and, equivalently, of the experimental precision.

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.

Referee Report

2 major / 2 minor

Summary. The manuscript develops a data-driven approach to incorporate hadronic resonant contributions, particularly from the ψ(2S), into predictions for the branching fractions of B → K(*) τ⁺ τ⁻ decays. It scales resonant structures extracted from LHCb measurements of the corresponding muon modes and computes SM predictions integrated over q² ranges starting at 4m_τ², 14.18 GeV², and 15 GeV². The central claim is that resonances substantially enhance the SM rates, yet for sufficiently large New Physics contributions (motivated by R(D(*)) and B → K(*) νν̄ tensions) the short-distance amplitude can become comparable to or larger than the resonant one, enabling use of hadron-collider data where q² resolution is limited.

Significance. If the scaling procedure holds, the work supplies a concrete framework for interpreting b → s τ⁺ τ⁻ signals at LHCb and CMS, where missing energy precludes clean q² cuts. It quantifies how resonance inclusion enlarges the phase space available for NP searches and shows the transition point at which short-distance terms dominate, directly linking to existing anomalies. The provision of predictions at experimentally convenient kinematic thresholds is a practical contribution.

major comments (2)
  1. [§3] §3 (data-driven scaling): The procedure transfers resonant amplitudes from B → K(*) μ⁺ μ⁻ LHCb data to the tau modes by assuming hadronic matrix elements and form-factor structure are preserved across the full q² spectrum. Because the tau kinematics restrict integration to q² ≥ 4m_τ² ≈ 12.6 GeV² (beginning inside the ψ(2S) region and excluding the lower-q² non-resonant and other resonant structures that normalize the muon fits), any q²-dependent variation or short-distance–resonant interference that differs between lepton species is not captured by a global scaling factor. Explicit checks or uncertainty estimates for this restricted domain are required to support the enhanced SM predictions.
  2. [§4.2] §4.2 and associated tables: When New Physics contributions are introduced, the manuscript states that short-distance terms can exceed the resonant ones, but the quantitative comparison relies on the same scaling. If the scaling uncertainty is underestimated in the high-q² window, the claimed crossover point between resonant and short-distance dominance shifts, directly affecting the paper’s conclusion on the utility of resonance-inclusive measurements for large NP.
minor comments (2)
  1. [Abstract] The abstract and introduction use the phrase “substantially enhances” without a numerical factor; a brief statement of the typical enhancement (e.g., factor of X relative to pure short-distance) would improve clarity.
  2. [§2] Notation for the effective Wilson coefficients in the presence of resonances should be defined once and used consistently; occasional reuse of C9,10 without the resonant subscript creates minor ambiguity.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading of our manuscript and the constructive comments. We address the major points raised regarding the data-driven scaling and its implications for New Physics comparisons. Revisions have been made to strengthen the discussion of uncertainties in the restricted q² domain.

read point-by-point responses

  1. Referee: [§3] The procedure transfers resonant amplitudes from B → K(*) μ⁺ μ⁻ LHCb data to the tau modes by assuming hadronic matrix elements and form-factor structure are preserved across the full q² spectrum. Because the tau kinematics restrict integration to q² ≥ 4m_τ² ≈ 12.6 GeV² (beginning inside the ψ(2S) region and excluding the lower-q² non-resonant and other resonant structures that normalize the muon fits), any q²-dependent variation or short-distance–resonant interference that differs between lepton species is not captured by a global scaling factor. Explicit checks or uncertainty estimates for this restricted domain are required to support the enhanced SM predictions.

    Authors: We thank the referee for this observation on the scaling in the high-q² region. The resonant amplitude is extracted from LHCb muon data in the ψ(2S) region that overlaps with the tau-accessible phase space, and the scaling factor is determined locally rather than globally across the entire spectrum. Hadronic matrix elements are lepton-flavor independent by construction in the SM, and form-factor q² dependence is already incorporated via the LHCb fit. To provide the requested explicit checks, we have added to the revised Section 3 a dedicated uncertainty estimate obtained by varying the scaling factor within the resonance width and by comparing against available theoretical parametrizations of the high-q² tail. These additions quantify the impact on the enhanced SM predictions and confirm that the central results remain robust. revision: yes

  2. Referee: [§4.2] When New Physics contributions are introduced, the manuscript states that short-distance terms can exceed the resonant ones, but the quantitative comparison relies on the same scaling. If the scaling uncertainty is underestimated in the high-q² window, the claimed crossover point between resonant and short-distance dominance shifts, directly affecting the paper’s conclusion on the utility of resonance-inclusive measurements for large NP.

    Authors: We agree that scaling uncertainties in the high-q² window can affect the precise crossover location. The original comparison used central values of the scaled resonant contribution. In the revised manuscript we propagate the LHCb measurement uncertainties together with the additional scaling uncertainty (now quantified in Section 3) into error bands on the resonant term. Updated figures and tables in Section 4.2 show that, even with these bands, short-distance New Physics contributions motivated by R(D(*)) and B → K(*) νν̄ tensions remain comparable to or larger than the resonant contribution over a substantial fraction of the relevant parameter space. This preserves the conclusion that resonance-inclusive predictions enlarge the usable phase space for hadron-collider analyses. revision: yes

Circularity Check

0 steps flagged

No significant circularity; predictions rely on external LHCb data

full rationale

The paper adopts a data-driven scaling of resonant contributions (particularly ψ(2S)) from independent LHCb measurements of B→K(*)μ+μ− decays to inform predictions for the kinematically restricted B→K(*)τ+τ− modes. This uses external experimental input to fix the hadronic matrix elements and form-factor structure rather than fitting parameters to the target tau observables or deriving them from the paper's own outputs. No self-definitional loop, fitted-input-renamed-as-prediction, or load-bearing self-citation chain is present; the central claims about enhancement of SM rates and comparability to NP contributions remain independent of the tau data itself. The derivation is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the transferability of resonant hadronic effects from muon to tau channels and on the accuracy of LHCb data as a proxy; no new particles or forces are postulated.

axioms (1)
  • domain assumption Resonant contributions in B→K(*)μ+μ− can be scaled to B→K(*)τ+τ− using the same hadronic matrix elements without significant lepton-mass dependent corrections beyond kinematics.
    This is the core of the data-driven approach described in the abstract.

pith-pipeline@v0.9.0 · 5958 in / 1455 out tokens · 43818 ms · 2026-05-21T03:52:07.524215+00:00 · methodology

discussion (0)

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Reference graph

Works this paper leans on

83 extracted references · 83 canonical work pages · 43 internal anchors

  1. [1]

    We compute the local contributions in the standard way [57–59] following Apps. A and B

    work page

  2. [2]

    [52, 53] through a redefinition ofC 9τ

    We include the nonlocal hadronic amplitudes ex- tracted from the fit toB→K (∗)µ+µ− data from Refs. [52, 53] through a redefinition ofC 9τ

    work page

  3. [3]

    We integrate the spectra over the full kinematically allowed range 4m2 τ ≤q 2 ≤(m B −m K(∗))2 ,(4) or over bins starting at 14.18 and 15 GeV 2 extend- ing up to the kinematic endpoint. This yields a prediction for the ditau mass spectrum and the corresponding branching ratio of the decays B→K (∗)τ +τ − that can be directly compared to the experimentally a...

    work page

  4. [4]

    + ∆Y 1p c¯c(q2) + ∆Y 2p c¯c(q2),(5) where ∆Y 1p c¯c(q2) and ∆Y 2p c¯c(q2) are the one- and two- particlec¯camplitudes obtained from one-time subtracted dispersion relations, withY 0 c¯c(q2

    work page

  5. [5]

    representing the sub- traction constant evaluated at the subtraction pointq 2 0 =

    work page

  6. [6]

    background

    The choice of this particular point and its calculation are explained in detail in Ref. [60] and coincides with the point used in Ref. [53]. The one-particlec¯ccontribution is modelled as ∆Y 1p c¯c(q2) = X j ηjeiδj q2 −q 2 0 m2 j −q 2 0 Ares j (q2),(6) whereη j andδ j are the magnitude and phase of thej th resonant contribution extracted from the fit toB ...

    work page

  7. [7]

    ERDF A way of making Europe

    Furthermore, only left-handed vector currents are present, allb→cτ ν andb→sννprocesses are rescaled in the same way, such that R(D∗) R(D∗)SM = R(D) R(D)SM , R ν K∗ =R ν K ,(14) where Rν K(∗) ≡ B(B→K (∗)νν) B(B→K (∗)νν) SM .(15) Therefore, if we neglect small CKM rotations (i.e.C (1,3) 3333 Vcb ≪C (1,3) 2333 ) we can express anyb→sτ +τ − process in terms o...

    work page doi:10.13039/501100011033 2018

  8. [8]

    Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC

    G. Aadet al.(ATLAS), Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC, Phys. Lett. B716, 1 (2012), arXiv:1207.7214 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  9. [9]

    Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC

    S. Chatrchyanet al.(CMS), Observation of a New Bo- son at a Mass of 125 GeV with the CMS Experiment at the LHC, Phys. Lett. B716, 30 (2012), arXiv:1207.7235 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  10. [10]

    Capdevila, A

    B. Capdevila, A. Crivellin, and J. Matias, Review of semileptonic B anomalies, Eur. Phys. J. ST1, 20 (2023), arXiv:2309.01311 [hep-ph]

    work page arXiv 2023

  11. [11]

    Implications from clean observables for the binned analysis of B -> K*ll at large recoil

    S. Descotes-Genon, J. Matias, M. Ramon, and J. Virto, Implications from clean observables for the binned anal- ysis ofB→K ∗µ+µ− at large recoil, JHEP01, 048, arXiv:1207.2753 [hep-ph]. 7 Note that these definitions differ by kinematic factors from those used in Refs. [52, 62]

    work page internal anchor Pith review Pith/arXiv arXiv

  12. [12]

    Optimizing the basis of B->K*ll observables in the full kinematic range

    S. Descotes-Genon, T. Hurth, J. Matias, and J. Virto, Optimizing the basis ofB→K ∗llobservables in the full kinematic range, JHEP05, 137, arXiv:1303.5794 [hep- ph]

    work page internal anchor Pith review Pith/arXiv arXiv

  13. [13]

    Measurement of form-factor independent observables in the decay $B^{0} \to K^{*0} \mu^+ \mu^-$

    R. Aaijet al.(LHCb), Measurement of Form-Factor- Independent Observables in the DecayB 0 →K ∗0µ+µ−, Phys. Rev. Lett.111, 191801 (2013), arXiv:1308.1707 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  14. [14]

    Understanding the B->K*mu+mu- Anomaly

    S. Descotes-Genon, J. Matias, and J. Virto, Understand- ing theB→K ∗µ+µ− Anomaly, Phys. Rev. D88, 074002 (2013), arXiv:1307.5683 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  15. [15]

    Aaijet al., A comprehensive analysis of theB 0 → K ∗0µ+µ− decay (2025), arXiv:2512.18053 [hep-ex]

    R. Aaijet al., A comprehensive analysis of theB 0 → K ∗0µ+µ− decay (2025), arXiv:2512.18053 [hep-ex]

    work page arXiv 2025

  16. [16]

    Differential branching fractions and isospin asymmetries of $B \to K^{(*)}\mu^{+}\mu^{-}$ decays

    R. Aaijet al.(LHCb), Differential branching fractions and isospin asymmetries ofB→K (∗)µ+µ− decays, JHEP06, 133, arXiv:1403.8044 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv

  17. [17]

    W. G. Parrott, C. Bouchard, and C. T. H. Davies (HPQCD), Standard Model predictions forB→Kℓ +ℓ−, B→Kℓ − 1 ℓ+ 2 andB→Kν¯νusing form factors fromN f = 2 + 1 + 1 lattice QCD, Phys. Rev. D107, 014511 9 (2023), [Erratum: Phys.Rev.D 107, 119903 (2023)], arXiv:2207.13371 [hep-ph]

    work page arXiv 2023

  18. [18]

    Alguer´ o, A

    M. Alguer´ o, A. Biswas, B. Capdevila, S. Descotes-Genon, J. Matias, and M. Novoa-Brunet, To (b)e or not to (b)e: no electrons at LHCb, Eur. Phys. J. C83, 648 (2023), arXiv:2304.07330 [hep-ph]

    work page arXiv 2023

  19. [19]

    Angular analysis of $B^0_d \rightarrow K^{*}\mu^+\mu^-$ decays in $pp$ collisions at $\sqrt{s}= 8$ TeV with the ATLAS detector

    M. Aaboudet al.(ATLAS), Angular analysis ofB 0 d → K ∗µ+µ− decays inppcollisions at √s= 8 TeV with the ATLAS detector, JHEP10, 047, arXiv:1805.04000 [hep- ex]

    work page internal anchor Pith review Pith/arXiv arXiv

  20. [20]

    Lepton-Flavor-Dependent Angular Analysis of $B\to K^\ast \ell^+\ell^-$

    S. Wehleet al.(Belle), Lepton-Flavor-Dependent Angu- lar Analysis ofB→K ∗ℓ+ℓ−, Phys. Rev. Lett.118, 111801 (2017), arXiv:1612.05014 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  21. [21]

    Aaijet al.(LHCb), Angular Analysis of theB + → K ∗+µ+µ− Decay, Phys

    R. Aaijet al.(LHCb), Angular Analysis of theB + → K ∗+µ+µ− Decay, Phys. Rev. Lett.126, 161802 (2021), arXiv:2012.13241 [hep-ex]

    work page arXiv 2021

  22. [22]

    Angular analysis of theB 0 →K ∗0(892)µ+µ− decay at√s= 13 TeV (2024)

    work page 2024

  23. [23]

    Aaijet al.(LHCb), Branching Fraction Measure- ments of the RareB 0 s →ϕµ +µ− andB 0 s → f ′ 2(1525)µ+µ−- Decays, Phys

    R. Aaijet al.(LHCb), Branching Fraction Measure- ments of the RareB 0 s →ϕµ +µ− andB 0 s → f ′ 2(1525)µ+µ−- Decays, Phys. Rev. Lett.127, 151801 (2021), arXiv:2105.14007 [hep-ex]

    work page arXiv 2021

  24. [24]

    Gubernari, M

    N. Gubernari, M. Reboud, D. van Dyk, and J. Virto, Im- proved theory predictions and global analysis of exclusive b→sµ +µ− processes, JHEP09, 133, arXiv:2206.03797 [hep-ph]

    work page arXiv

  25. [25]

    Gubernari, D

    N. Gubernari, D. van Dyk, and J. Virto, Non-local ma- trix elements inB (s) → {K (∗), ϕ}ℓ+ℓ−, JHEP02, 088, arXiv:2011.09813 [hep-ph]

    work page arXiv 2011

  26. [26]

    Hurth, F

    T. Hurth, F. Mahmoudi, and S. Neshatpour,Banomalies in the postR K(∗) era, Phys. Rev. D108, 115037 (2023), arXiv:2310.05585 [hep-ph]

    work page arXiv 2023

  27. [27]

    Gevorgyanet al.(CMS), Measurement of angular ob- servables and differential branching fraction forB s → ϕµµat 13 TeV (2026)

    A. Gevorgyanet al.(CMS), Measurement of angular ob- servables and differential branching fraction forB s → ϕµµat 13 TeV (2026)

    work page 2026

  28. [28]

    J. P. Leeset al.(BaBar), Evidence for an excess of ¯B→ D(∗)τ −¯ντ decays, Phys. Rev. Lett.109, 101802 (2012), arXiv:1205.5442 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  29. [29]

    J. P. Leeset al.(BaBar), Measurement of an Ex- cess of ¯B→D (∗)τ −¯ντ Decays and Implications for Charged Higgs Bosons, Phys. Rev. D88, 072012 (2013), arXiv:1303.0571 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  30. [30]

    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), 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, 072014 (2015), arXiv:1507.03233 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  31. [31]

    Measurement of the branching ratio of $\bar{B}^0 \rightarrow D^{*+} \tau^- \bar{\nu}_{\tau}$ relative to $\bar{B}^0 \rightarrow D^{*+} \ell^- \bar{\nu}_{\ell}$ decays with a semileptonic tagging method

    Y. Satoet al.(Belle), Measurement of the branching ratio of ¯B0 →D ∗+τ −¯ντ relative to ¯B0 →D ∗+ℓ−¯νℓ decays with a semileptonic tagging method, Phys. Rev. D94, 072007 (2016), arXiv:1607.07923 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  32. [32]

    Measurement of the $\tau$ lepton polarization and $R(D^*)$ in the decay $\bar{B} \to D^* \tau^- \bar{\nu}_\tau$

    S. Hiroseet al.(Belle), Measurement of theτlepton po- larization andR(D ∗) in the decay ¯B→D ∗τ −¯ντ, Phys. Rev. Lett.118, 211801 (2017), arXiv:1612.00529 [hep- ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  33. [33]

    Measurement of the $\tau$ lepton polarization and $R(D^*)$ in the decay $\bar{B} \rightarrow D^* \tau^- \bar{\nu}_\tau$ with one-prong hadronic $\tau$ decays at Belle

    S. Hiroseet al.(Belle), Measurement of theτlepton po- larization andR(D ∗) in the decay ¯B→D ∗τ −¯ντ with one-prong hadronicτdecays at Belle, Phys. Rev. D97, 012004 (2018), arXiv:1709.00129 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  34. [34]

    Cariaet al.(Belle), Measurement ofR(D) andR(D ∗) with a semileptonic tagging method, Phys

    G. Cariaet al.(Belle), Measurement ofR(D) andR(D ∗) with a semileptonic tagging method, Phys. Rev. Lett. 124, 161803 (2020), arXiv:1910.05864 [hep-ex]

    work page arXiv 2020

  35. [35]

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

    R. Aaijet al.(LHCb), Measurement of the ratio of branching fractionsB( ¯B0 →D ∗+τ −¯ντ)/B( ¯B0 → D∗+µ−¯νµ), Phys. Rev. Lett.115, 111803 (2015), [Erratum: Phys.Rev.Lett. 115, 159901 (2015)], arXiv:1506.08614 [hep-ex]

    work page arXiv 2015

  36. [36]

    Measurement of the ratio of the $B^0 \to D^{*-} \tau^+ \nu_{\tau}$ and $B^0 \to D^{*-} \mu^+ \nu_{\mu}$ branching fractions using three-prong $\tau$-lepton decays

    R. Aaijet al.(LHCb), Measurement of the ratio of the B0 →D ∗−τ +ντ andB 0 →D ∗−µ+νµ branching fractions using three-prongτ-lepton decays, Phys. Rev. Lett.120, 171802 (2018), arXiv:1708.08856 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  37. [37]

    Test of Lepton Flavor Universality by the measurement of the $B^0 \to D^{*-} \tau^+ \nu_{\tau}$ branching fraction using three-prong $\tau$ decays

    R. Aaijet al.(LHCb), Test of Lepton Flavor Universality by the measurement of theB 0 →D ∗−τ +ντ branching fraction using three-prongτdecays, Phys. Rev. D97, 072013 (2018), arXiv:1711.02505 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  38. [38]

    Aaijet al.(LHCb), Test of lepton flavor universality usingB 0→D∗−τ +ντ decays with hadronicτchannels, Phys

    R. Aaijet al.(LHCb), Test of lepton flavor universality usingB 0→D∗−τ +ντ decays with hadronicτchannels, Phys. Rev. D108, 012018 (2023), [Erratum: Phys.Rev.D 109, 119902 (2024)], arXiv:2305.01463 [hep-ex]

    work page arXiv 2023

  39. [39]

    Adachiet al.(Belle-II), Test of lepton flavor univer- sality with measurements ofR(D +) andR(D ∗+) using semileptonic B tagging at the Belle II experiment, Phys

    I. Adachiet al.(Belle-II), Test of lepton flavor univer- sality with measurements ofR(D +) andR(D ∗+) using semileptonic B tagging at the Belle II experiment, Phys. Rev. D112, 032010 (2025), arXiv:2504.11220 [hep-ex]

    work page arXiv 2025

  40. [40]

    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, 012008 (2026), arXiv:2411.18639 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2023

  41. [41]

    Crivellin, S

    A. Crivellin, S. Iguro, and T. Kitahara, Discriminating tauphilic leptoquark explanations of the B anomalies via K→πν¯νand B→Kν¯ν, Phys. Rev. D112, 095016 (2025), arXiv:2505.05552 [hep-ph]

    work page arXiv 2025

  42. [42]

    New Physics in Gamma_12^s: (sbar b) (taubar tau) Operators

    C. Bobeth and U. Haisch, New Physics in Γ s 12: (¯sb)(¯τ τ) Operators, Acta Phys. Polon. B44, 127 (2013), arXiv:1109.1826 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  43. [43]

    Importance of Loop Effects in Explaining the Accumulated Evidence for New Physics in B Decays with a Vector Leptoquark

    A. Crivellin, C. Greub, D. M¨ uller, and F. Saturnino, Importance of Loop Effects in Explaining the Accumu- lated Evidence for New Physics in B Decays with a Vec- tor Leptoquark, Phys. Rev. Lett.122, 011805 (2019), arXiv:1807.02068 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2019

  44. [44]

    Lepton universality violation and lepton flavor conservation in $B$-meson decays

    R. Alonso, B. Grinstein, and J. Martin Camalich, Lepton universality violation and lepton flavor conservation inB- meson decays, JHEP10, 184, arXiv:1505.05164 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv

  45. [45]

    Simultaneous Explanation of $R(D^{(*)})$ and $b\to s\mu^+\mu^-$: The Last Scalar Leptoquarks Standing

    A. Crivellin, D. M¨ uller, and T. Ota, Simultaneous expla- nation of R(D (∗)) andb→sµ + µ−: the last scalar lepto- quarks standing, JHEP09, 040, arXiv:1703.09226 [hep- ph]

    work page internal anchor Pith review Pith/arXiv arXiv

  46. [46]

    A model of vector leptoquarks in view of the $B$-physics anomalies

    L. Calibbi, A. Crivellin, and T. Li, Model of vector lep- toquarks in view of theB-physics anomalies, Phys. Rev. D98, 115002 (2018), arXiv:1709.00692 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  47. [47]

    Searching for New Physics with $b\to s\tau^+\tau^-$ processes

    B. Capdevila, A. Crivellin, S. Descotes-Genon, L. Hofer, and J. Matias, Searching for New Physics withb→ sτ +τ − processes, Phys. Rev. Lett.120, 181802 (2018), arXiv:1712.01919 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  48. [48]

    T. V. Donget al.(Belle), Search for the decay B0→K ∗0τ +τ − at the Belle experiment, Phys. Rev. D 108, L011102 (2023), arXiv:2110.03871 [hep-ex]

    work page arXiv 2023

  49. [49]

    J. P. Leeset al.(BaBar), Search forB + →K +τ +τ − at the BaBar experiment, Phys. Rev. Lett.118, 031802 (2017), arXiv:1605.09637 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  50. [50]

    Searches for $B^0\to K^+\pi^-\tau^+\tau^-$ and $B_s^0\to K^+K^-\tau^+\tau^-$ decays

    R. Aaijet al.(LHCb), Searches forB 0 →K +π−τ +τ − andB 0 s →K +K −π+π− decays (2025), arXiv:2510.13716 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2025

  51. [51]

    Search for the decays $B_s^0\to\tau^+\tau^-$ and $B^0\to\tau^+\tau^-$

    R. Aaijet al.(LHCb), Search for the decaysB 0 s →τ +τ − andB 0 →τ +τ −, Phys. Rev. Lett.118, 251802 (2017), arXiv:1703.02508 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  52. [52]

    Abumusabhet al.(Belle-II, Belle), Search for the de- cayB + →K +τ +τ − using data from the Belle and Belle 10 II experiments (2026), arXiv:2603.24437 [hep-ex]

    M. Abumusabhet al.(Belle-II, Belle), Search for the de- cayB + →K +τ +τ − using data from the Belle and Belle 10 II experiments (2026), arXiv:2603.24437 [hep-ex]

    work page arXiv 2026

  53. [53]

    B_{s,d} -> l+ l- in the Standard Model with Reduced Theoretical Uncertainty

    C. Bobeth, M. Gorbahn, T. Hermann, M. Misiak, E. Sta- mou, and M. Steinhauser,B s,d →l +l− in the Standard Model with Reduced Theoretical Uncertainty, Phys. Rev. Lett.112, 101801 (2014), arXiv:1311.0903 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  54. [54]

    Updated $B_q \to \bar\ell\ell$ in the standard model at higher orders

    C. Bobeth, UpdatedB q → ¯ℓℓin the standard model at higher orders (2014), arXiv:1405.4907 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  55. [55]

    J. L. Hewett, Tau polarization asymmetry inB→ X(s)τ +τ −, Phys. Rev. D53, 4964 (1996), arXiv:hep- ph/9506289

    work page arXiv 1996

  56. [56]

    Standard Model predictions for B -> Kll with form factors from lattice QCD

    C. Bouchard, G. P. Lepage, C. Monahan, H. Na, and J. Shigemitsu (HPQCD), Standard Model Predictions for B→Kℓ +ℓ− with Form Factors from Lattice QCD, Phys. Rev. Lett.111, 162002 (2013), [Erratum: Phys.Rev.Lett. 112, 149902 (2014)], arXiv:1306.0434 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  57. [57]

    J. F. Kamenik, S. Monteil, A. Semkiv, and L. V. Silva, Lepton polarization asymmetries in rare semi-tauonic b→sexclusive decays at FCC-ee, Eur. Phys. J. C77, 701 (2017), arXiv:1705.11106 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  58. [58]

    Probing Lepton Flavour Universality with $\Lambda_b$ decays to $\tau^+\tau^-$ final states

    M. Bordone, G. Isidori, C. Mayer, and J.-N. Toelstede, Probing Lepton Flavour Universality with Λ b decays to τ +τ − final states (2025), arXiv:2511.05654 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2025

  59. [59]

    Aaijet al.(LHCb), Comprehensive analysis of local and nonlocal amplitudes in theB 0 →K ∗0µ+µ− decay, JHEP09, 026, arXiv:2405.17347 [hep-ex]

    R. Aaijet al.(LHCb), Comprehensive analysis of local and nonlocal amplitudes in theB 0 →K ∗0µ+µ− decay, JHEP09, 026, arXiv:2405.17347 [hep-ex]

    work page arXiv

  60. [60]

    Aaijet al.(LHCb), Measurement of the local and nonlocal amplitudes inB + →K +µ+µ− decays (2026), arXiv:2603.12477 [hep-ex]

    R. Aaijet al.(LHCb), Measurement of the local and nonlocal amplitudes inB + →K +µ+µ− decays (2026), arXiv:2603.12477 [hep-ex]

    work page arXiv 2026

  61. [61]

    Measurement of the phase difference between short- and long-distance amplitudes in the $B^{+}\to K^{+}\mu^{+}\mu^{-}$ decay

    R. Aaijet al.(LHCb), Measurement of the phase differ- ence between short- and long-distance amplitudes in the B+ →K +µ+µ− decay, Eur. Phys. J. C77, 161 (2017), arXiv:1612.06764 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  62. [62]

    V. V. Anashinet al., Measurement of the tau lepton mass at the KEDR detector, JETP Lett.85, 347 (2007)

    work page 2007

  63. [63]

    V. V. Anashinet al., Measurement of Γ ee ×Bµµ forψ(2S) meson, Phys. Lett. B781, 174 (2018), arXiv:1801.10362 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  64. [64]

    Grinstein, R

    B. Grinstein, R. P. Springer, and M. B. Wise, Effective Hamiltonian for Weak Radiative B Meson Decay, Phys. Lett. B202, 138 (1988)

    work page 1988

  65. [65]

    Weak Decays Beyond Leading Logarithms

    G. Buchalla, A. J. Buras, and M. E. Lautenbacher, Weak Decays beyond Leading Logarithms, Rev. Mod. Phys.68, 1125 (1996), arXiv:hep-ph/9512380

    work page internal anchor Pith review Pith/arXiv arXiv 1996

  66. [66]

    Patterns of New Physics in $b\to s\ell^+\ell^-$ transitions in the light of recent data

    B. Capdevila, A. Crivellin, S. Descotes-Genon, J. Matias, and J. Virto, Patterns of New Physics inb→sℓ +ℓ− transitions in the light of recent data, JHEP01, 093, arXiv:1704.05340 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv

  67. [67]

    Bordone, G

    M. Bordone, G. Isidori, S. M¨ achler, and A. Tinari, Short- vs. long-distance physics inB→K (∗)ℓ+ℓ−: a data-driven analysis, Eur. Phys. J. C84, 547 (2024), arXiv:2401.18007 [hep-ph]

    work page arXiv 2024

  68. [68]

    W. G. Parrott, C. Bouchard, and C. T. H. Davies ((HPQCD collaboration)§, HPQCD), B→K and D→K form factors from fully relativistic lattice QCD, Phys. Rev. D107, 014510 (2023), arXiv:2207.12468 [hep-lat]

    work page arXiv 2023

  69. [69]

    Gubernari, M

    N. Gubernari, M. Reboud, D. van Dyk, and J. Virto, Dispersive analysis ofB→K (∗) andB s →ϕform fac- tors, JHEP12, 153, [Erratum: JHEP 01, 125 (2025)], arXiv:2305.06301 [hep-ph]

    work page arXiv 2025

  70. [70]

    Buchmuller and D

    W. Buchmuller and D. Wyler, Effective Lagrangian Anal- ysis of New Interactions and Flavor Conservation, Nucl. Phys. B268, 621 (1986)

    work page 1986

  71. [71]

    On new physics in $\Delta \Gamma_d$

    C. Bobeth, U. Haisch, A. Lenz, B. Pecjak, and G. Tetlalmatzi-Xolocotzi, On new physics in ∆Γd, JHEP 06, 040, arXiv:1404.2531 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv

  72. [72]

    Effective field theory approach to $b\to s\ell\ell^{(\prime)}$, $B\to K^{(*)}\nu\bar{\nu}$ and $B\to D^{(*)}\tau\nu$ with third generation couplings

    L. Calibbi, A. Crivellin, and T. Ota, Effective Field Theory Approach tob→sℓℓ (′),B→K (∗)ννand B→D (∗)τ νwith Third Generation Couplings, Phys. Rev. Lett.115, 181801 (2015), arXiv:1506.02661 [hep- ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  73. [73]

    B-decay Anomalies in a Composite Leptoquark Model

    R. Barbieri, C. W. Murphy, and F. Senia, B-decay Anomalies in a Composite Leptoquark Model, Eur. Phys. J. C77, 8 (2017), arXiv:1611.04930 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  74. [74]

    Gauge leptoquark as the origin of B-physics anomalies

    L. Di Luzio, A. Greljo, and M. Nardecchia, Gauge lepto- quark as the origin of B-physics anomalies, Phys. Rev. D 96, 115011 (2017), arXiv:1708.08450 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  75. [75]

    A three-site gauge model for flavor hierarchies and flavor anomalies

    M. Bordone, C. Cornella, J. Fuentes-Martin, and G. Isidori, A three-site gauge model for flavor hierar- chies and flavor anomalies, Phys. Lett. B779, 317 (2018), arXiv:1712.01368 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  76. [76]

    $B$ Meson Anomalies in a Pati-Salam Model within the Randall-Sundrum Background

    M. Blanke and A. Crivellin,BMeson Anomalies in a Pati-Salam Model within the Randall-Sundrum Background, Phys. Rev. Lett.121, 011801 (2018), arXiv:1801.07256 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  77. [77]

    Crivellin, D

    A. Crivellin, D. M¨ uller, and F. Saturnino, Flavor Phe- nomenology of the Leptoquark Singlet-Triplet Model, JHEP06, 020, arXiv:1912.04224 [hep-ph]

    work page arXiv 1912

  78. [78]

    Gherardi, D

    V. Gherardi, D. Marzocca, and E. Venturini, Low-energy phenomenology of scalar leptoquarks at one-loop accu- racy, JHEP01, 138, arXiv:2008.09548 [hep-ph]

    work page arXiv 2008

  79. [79]

    Balt` a, A

    G. Balt` a, A. Crivellin, R. Escribano, J. Matias, and M. Novoa-Brunet (2026), manuscript in preparation

    work page 2026

  80. [80]

    Adachiet al.(Belle-II), Evidence forB +→K +ν¯νde- cays, Phys

    I. Adachiet al.(Belle-II), Evidence forB +→K +ν¯νde- cays, Phys. Rev. D109, 112006 (2024), arXiv:2311.14647 [hep-ex]

    work page arXiv 2024

Showing first 80 references.