pith. sign in

arxiv: 2409.16961 · v2 · submitted 2024-09-25 · ✦ hep-ph

Correlative study of flavor anomalies and dark matter in the light of scalar leptoquark

Manas Kumar Mohapatra , Shivaramakrishna Singirala , Dhiren Panda , Rukmani Mohanta This is my paper

Pith reviewed 2026-05-23 20:35 UTC · model grok-4.3

classification ✦ hep-ph
keywords leptoquarkflavor anomaliesdark matterU(1) extensionB meson decayspenguin diagramsrelic densitydirect detection
0
0 comments X

The pith

A U(1) extended model with scalar leptoquark generates penguin contributions that fit B-meson flavor anomalies while accommodating dark matter relic density.

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

The paper builds a Standard Model extension with U(1)_{Le-Lμ} gauge symmetry, three neutral fermions, a scalar leptoquark doublet, an inert scalar doublet, and a singlet scalar. New physics for b to s transitions arises from penguin diagrams involving the Z' boson, the leptoquark, and the new fermions. The authors extract constraints on model parameters from measured observables in B to K(*) mu mu and Bs to phi mu mu decays. They then identify overlapping regions of parameter space that also satisfy dark matter relic density and direct detection bounds via scalar and gauge portals, and they compute effects on additional decay channels such as Lambda_b to Lambda*(1520) ell ell.

Core claim

New physics contribution for b to s transition comes from penguin diagrams with Z', leptoquark and new fermions. Constraints from the observables of B to K(*) mu+ mu- and Bs to phi mu+ mu- decay channels leave a permissible parameter space that is simultaneously consistent with dark matter relic density and direct detection in scalar and gauge portals.

What carries the argument

The scalar leptoquark doublet tilde R_2, which together with the Z' boson mediates the penguin diagrams responsible for the flavor-changing contributions.

If this is right

  • Parameters are bounded by the existing data on B to K(*) mu+ mu- and Bs to phi mu+ mu- branching ratios and angular observables.
  • The same parameter space yields definite predictions for the branching ratio, forward-backward asymmetry, longitudinal polarisation asymmetry, and lepton non-universality in Lambda_b to Lambda*(1520) to pK ell+ ell-.
  • Dark matter relic density and direct detection cross section are realized through both scalar and gauge portals for the lightest neutral fermion.

Where Pith is reading between the lines

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

  • The one-loop neutrino mass mechanism supplied by the inert doublet could be confronted with oscillation data once the flavor-dark-matter parameters are fixed.
  • Production and decay signatures of the leptoquark at colliders would provide an independent test of the same parameter region.
  • The Z' boson may induce additional flavor effects in channels not examined in the paper, such as other rare B or K decays.
  • pith_inferences

Load-bearing premise

A region of parameter space exists that is simultaneously consistent with the flavor observables and the dark matter relic density plus direct detection bounds.

What would settle it

A future measurement of the forward-backward asymmetry or lepton non-universality in Lambda_b to Lambda*(1520) to pK ell+ ell- that lies outside the range allowed by the flavor-plus-dark-matter parameter space would rule out the claimed overlap.

Figures

Figures reproduced from arXiv: 2409.16961 by Dhiren Panda, Manas Kumar Mohapatra, Rukmani Mohanta, Shivaramakrishna Singirala.

Figure 1
Figure 1. Figure 1: FIG. 1: Feynman diagrams contributing to relic density and WIMP-nucleon cross section. [PITH_FULL_IMAGE:figures/full_fig_p007_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2: WIMP-nucleon cross section as a function of dark matter mass projected in the left [PITH_FULL_IMAGE:figures/full_fig_p008_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3: Left panel projects relic density as a function of dark matter mass with horizontal [PITH_FULL_IMAGE:figures/full_fig_p009_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4: Allowed penguin diagrams illustrating the [PITH_FULL_IMAGE:figures/full_fig_p011_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5: Allowed parameter space illustrating the [PITH_FULL_IMAGE:figures/full_fig_p012_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6: The branching ratio (in units of 10 [PITH_FULL_IMAGE:figures/full_fig_p015_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7: BR (top left), [PITH_FULL_IMAGE:figures/full_fig_p016_7.png] view at source ↗
read the original abstract

We explore $U(1)_{L_e-L_\mu}$ gauge extension of the Standard Model with particle content enlarged by three neutral fermions, of which the lightest one contributes to dark matter content of the Universe. The scalar sector is enriched with a $\tilde{R}_2$ scalar leptoquark doublet to investigate flavor anomalies in $B$-meson sector, an additional inert scalar doublet to realize neutrino mass at one loop and a scalar singlet to spontaneously break the new $U(1)$. We discuss dark matter relic density and direct detection cross section in scalar and gauge portals. New physics contribution for $b \to s$ transition comes from penguin diagrams with $Z^\prime$, leptquark and new fermions. We analyze the constraints on the model parameters from the established observables of $B \to K^{(*)} \mu^+ \mu^-$ and $B_s\to \phi \mu^+ \mu^-$ decay channels. Utilizing the permissible parameter space consistent with both flavor and dark sectors, we discuss the impact on various observables such as branching ratio, forward-backward asymmetry, longitudinal polarisation asymmetry, and also lepton non-universality of $\Lambda_b \to \Lambda ^* (1520) (\to pK) \ell ^+\ell ^-$ decay channel.

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 / 1 minor

Summary. The manuscript proposes a U(1)_{Le-Lμ} gauge extension of the SM augmented by a scalar leptoquark doublet ~R2, an inert scalar doublet, a scalar singlet, and three neutral fermions (lightest as DM candidate). Penguin diagrams with Z', the leptoquark, and new fermions generate new physics contributions to b→s transitions. The authors constrain parameters from B→K(*)μμ and Bs→ϕμμ observables, require consistency with DM relic density and direct detection via scalar/gauge portals, generate neutrino masses at one loop, and examine impacts on branching ratios, forward-backward asymmetry, longitudinal polarisation asymmetry, and lepton non-universality in Λb→Λ*(1520)(→pK)ℓ+ℓ− decays.

Significance. If a non-empty parameter space simultaneously satisfying the flavor, DM, and neutrino constraints exists and is robustly demonstrated, the work supplies a correlated BSM framework linking flavor anomalies to dark matter, with concrete predictions for Λb observables that could be tested at LHCb or Belle II. The explicit inclusion of both scalar and gauge portals for DM and one-loop neutrino masses is a constructive feature of the model construction.

major comments (2)
  1. [Abstract; flavor and DM constraint sections] The central claim rests on the existence of a 'permissible parameter space consistent with both flavor and dark sectors' (Abstract). With free parameters including leptoquark mass/Yukawa couplings, Z' mass/gauge coupling, DM fermion mass/portal couplings, and scalar singlet VEV/mixing, the manuscript must provide explicit evidence (e.g., benchmark points or a scan in the flavor-constraint and DM sections) that values fitting the B→K(*)μμ and Bs→ϕμμ data also reproduce the observed relic density without violating direct-detection bounds; absent such demonstration the correlation is not established.
  2. [Sections discussing penguin diagrams and neutrino mass generation] The new-physics contributions to b→s from Z', leptoquark, and new-fermion penguins are stated to explain the anomalies, yet the manuscript does not show whether the leptoquark couplings required by the flavor fit remain compatible with the inert-doublet VEV range needed for one-loop neutrino masses and with collider bounds; this consistency check is load-bearing for the overall viability.
minor comments (1)
  1. [Model section] Notation for the leptoquark doublet (~R2) and the new fermions should be introduced with explicit quantum numbers and mixing matrices in the model-definition section for clarity.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the constructive comments and for recognizing the model's potential to link flavor anomalies with dark matter. We address each major comment below and will revise the manuscript accordingly to provide the requested explicit demonstrations.

read point-by-point responses

  1. Referee: [Abstract; flavor and DM constraint sections] The central claim rests on the existence of a 'permissible parameter space consistent with both flavor and dark sectors' (Abstract). With free parameters including leptoquark mass/Yukawa couplings, Z' mass/gauge coupling, DM fermion mass/portal couplings, and scalar singlet VEV/mixing, the manuscript must provide explicit evidence (e.g., benchmark points or a scan in the flavor-constraint and DM sections) that values fitting the B→K(*)μμ and Bs→ϕμμ data also reproduce the observed relic density without violating direct-detection bounds; absent such demonstration the correlation is not established.

    Authors: We agree that explicit evidence is essential to substantiate the claimed correlation. The manuscript discusses permissible parameter ranges consistent with flavor observables, but does not present specific benchmark points or scans that simultaneously satisfy relic density and direct-detection constraints. In the revised manuscript we will add such benchmark points (selected from the flavor-allowed regions) together with the corresponding relic density and direct-detection results in the relevant sections. revision: yes

  2. Referee: [Sections discussing penguin diagrams and neutrino mass generation] The new-physics contributions to b→s from Z', leptoquark, and new-fermion penguins are stated to explain the anomalies, yet the manuscript does not show whether the leptoquark couplings required by the flavor fit remain compatible with the inert-doublet VEV range needed for one-loop neutrino masses and with collider bounds; this consistency check is load-bearing for the overall viability.

    Authors: We acknowledge that an explicit compatibility check between the leptoquark Yukawa couplings needed for the flavor fit and the inert-doublet VEV values required for one-loop neutrino masses (plus collider bounds on the leptoquark) is not provided. In the revision we will add a dedicated paragraph or subsection verifying that the flavor-preferred leptoquark parameter space overlaps with the neutrino-mass and collider-allowed ranges. revision: yes

Circularity Check

0 steps flagged

No significant circularity; constraints from external data yield independent predictions for Lambda_b observables.

full rationale

The paper constrains its parameters using established external observables (B → K(*) μ+ μ−, Bs → ϕ μ+ μ− branching ratios and asymmetries) plus dark matter relic density and direct detection cross sections. It then computes predictions for a distinct but related channel (Λb → Λ*(1520) ℓ+ ℓ− observables) within the surviving parameter space. No equation reduces a claimed prediction to a fitted input by construction, no self-citation supplies a load-bearing uniqueness theorem, and no ansatz or renaming is smuggled in. The derivation chain is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

4 free parameters · 2 axioms · 4 invented entities

The model rests on several new particles and a new gauge symmetry whose parameters are fitted to data; no independent evidence is provided for the invented entities beyond consistency with existing anomalies.

free parameters (4)
  • leptoquark mass and Yukawa couplings
    Adjusted to reproduce b→s transition observables
  • Z' mass and gauge coupling
    Chosen to satisfy flavor constraints from B decays
  • DM fermion mass and portal couplings
    Fitted to relic density and direct detection bounds
  • scalar singlet VEV and mixing parameters
    Set to break U(1) while allowing viable DM
axioms (2)
  • domain assumption The lightest neutral fermion is stable and constitutes the dark matter
    Invoked to link the fermion sector to DM content
  • domain assumption The inert scalar doublet generates neutrino masses at one loop without tree-level contributions
    Standard assumption for radiative neutrino mass models
invented entities (4)
  • scalar leptoquark doublet ~R2 no independent evidence
    purpose: Mediates flavor-changing b→s transitions via penguins
    New particle postulated to explain anomalies
  • U(1)_{Le-Lμ} gauge boson Z' no independent evidence
    purpose: Contributes to b→s penguin diagrams
    New gauge boson from the extension
  • three neutral fermions no independent evidence
    purpose: Lightest as DM candidate; others aid neutrino mass
    New fermions introduced for DM and mass generation
  • inert scalar doublet no independent evidence
    purpose: Generates neutrino masses at one loop
    New scalar for radiative mass mechanism

pith-pipeline@v0.9.0 · 5778 in / 1884 out tokens · 64755 ms · 2026-05-23T20:35:21.961953+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

  • IndisputableMonolith/Cost/FunctionalEquation.lean washburn_uniqueness_aczel contradicts
    ?
    contradicts

    CONTRADICTS: the theorem conflicts with this paper passage, or marks a claim that would need revision before publication.

    We explore U(1)Le−Lμ gauge extension ... enriched with a ˜R2 scalar leptoquark doublet ... an additional inert scalar doublet ... scalar singlet ... DM relic density and direct detection cross section in scalar and gauge portals ... CNP9 = −(1/4π)√2/(4GF mZ'2) ... yqRN g2eμ ... R(a,b)

  • IndisputableMonolith/Foundation/RealityFromDistinction.lean reality_from_one_distinction contradicts
    ?
    contradicts

    CONTRADICTS: the theorem conflicts with this paper passage, or marks a claim that would need revision before publication.

    the allowed parameter space of depicted in Fig. 5 ... benchmark values ... yqRN=1.1, geμ=0.3, MZ'=671 GeV, MN1=286 GeV

What do these tags mean?
matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

Works this paper leans on

77 extracted references · 77 canonical work pages · 39 internal anchors

  1. [1]

    Furthermore, the mass of associated gauge boson of new U(1) is MZ′ = 2v2geµ

    (4) In the above MC, MR, MI represent the masses of charged and neutral constituents of inert doublet, MU , MD correspond to the masses of leptoquark components ˜R2/3 2 , ˜R−1/3 2 respec- tively. Furthermore, the mass of associated gauge boson of new U(1) is MZ′ = 2v2geµ. 5 A. F ermion and scalar spectrum The fermion and scalar mass matrices take the form...

    work page

  2. [2]

    Spin-independent DM-nucleon cross section in Higgs portal does not provide any new contraints on the model parameter space

    package and used micrOMEGAs [53–55] to compute relic density and also DM-nucleon cross section. Spin-independent DM-nucleon cross section in Higgs portal does not provide any new contraints on the model parameter space. The cross section can be brought down by choosing small scalar mixing angle (i.e., ζ). ● ● ● ● ● ●● ● ● ● ● ● ● ●● ● ● ● ●● ● ● ● ● ● ● ●...

    work page 2017

  3. [3]

    In addition to the optimized observables (P1 −P ′ 8), LHCb has provided an extensive set of angular observables for these decay modes across various q2 intervals [65]

    [64] across multiple q2 intervals such as [0.10, 0.98], [1.1, 2.5], [2.5, 4.0], [4.0, 6.0], and [1 .1, 6.0]. In addition to the optimized observables (P1 −P ′ 8), LHCb has provided an extensive set of angular observables for these decay modes across various q2 intervals [65]. Our analysis also focuses on exploring the NP coupling C N P 9 within the muon s...

    work page 2000

  4. [4]

    6 illustrates the q2 dependence of the branching ratio for the Λ → Λ∗(1520)(→ pK −)µ+µ− decay, comparing the SM including new physics

    Branching ratio The top-left panel of Fig. 6 illustrates the q2 dependence of the branching ratio for the Λ → Λ∗(1520)(→ pK −)µ+µ− decay, comparing the SM including new physics. In the presence of NP couplings, the branching ratio is found to be of the order O(10−9). The inclusion of the new vector coupling results in a reduction of BR(Λ → Λ∗(1520)(→ pK −...

    work page

  5. [5]

    However, no significant deviation is observed for this particular observable

    Longitudinal polarisation asymmetry Due to the influence of the NP coupling, the contribution from new physics is shifted slightly lower compared to the SM. However, no significant deviation is observed for this particular observable. The corresponding q2-distribution and bin-wise plots are shown in the bottom-left panel of Fig. 6 and Fig. 7, respectively...

    work page

  6. [6]

    The q2 distribution, illustrated in Fig

    Forward-backward asymmetry This observable exhibits a comparatively larger deviation compared to branching ratio and polarisation asymmetry. The q2 distribution, illustrated in Fig. 6, reveals a zero- crossing point at approximately 2.5 GeV2 in the SM. However, in the presence of new physics 17 couplings, the zero-crossing point shifts to around 3 GeV 2, ...

    work page

  7. [7]

    The NP contribution shows a marginal sensitivity, with the SM prediction being approxi- mately 1

    Lepton non-universal observable Notably, the ratio of branching ratios, specifically the LFU-sensitive observable RΛb, re- veals a profound distinction between the new physics contribution and the SM prediction. The NP contribution shows a marginal sensitivity, with the SM prediction being approxi- mately 1. The q2-dependency and the bin-wise behavior are...

    work page

  8. [8]

    Zwicky, Astrophys

    F. Zwicky, Astrophys. J. 86, 217 (1937)

    work page 1937

  9. [9]

    V. C. Rubin and W. K. Ford, Jr., Astrophys. J. 159, 379 (1970)

    work page 1970

  10. [10]

    Clowe, A

    D. Clowe, A. Gonzalez, and M. Markevitch, Astrophys. J. 604, 596 (2004), arXiv:astro- ph/0312273 [astro-ph]

    work page arXiv 2004

  11. [11]

    Particle Dark Matter: Evidence, Candidates and Constraints

    G. Bertone, D. Hooper, and J. Silk, Phys. Rept. 405, 279 (2005), arXiv:hep-ph/0404175

    work page internal anchor Pith review Pith/arXiv arXiv 2005

  12. [12]

    A Theory of Dark Matter

    N. Arkani-Hamed, D. P. Finkbeiner, T. R. Slatyer, and N. Weiner, Phys. Rev. D 79, 015014 (2009), arXiv:0810.0713 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2009

  13. [13]

    Sterile Neutrinos as Dark Matter

    S. Dodelson and L. M. Widrow, Phys. Rev. Lett. 72, 17 (1994), arXiv:hep-ph/9303287

    work page internal anchor Pith review Pith/arXiv arXiv 1994

  14. [14]

    P. A. Zyla et al. (Particle Data Group), PTEP 2020, 083C01 (2020)

    work page 2020

  15. [15]

    Sakharov, Sov

    A. Sakharov, Sov. Phys. Usp. 34, 392 (1991)

    work page 1991

  16. [16]

    E. W. Kolb and S. Wolfram, Nucl. Phys. B 172, 224 (1980), [Erratum: Nucl.Phys.B 195, 542 (1982)]

    work page 1980

  17. [17]

    Leptogenesis

    S. Davidson, E. Nardi, and Y. Nir, Phys. Rept. 466, 105 (2008), arXiv:0802.2962 [hep-ph] . 19

    work page internal anchor Pith review Pith/arXiv arXiv 2008

  18. [18]

    Buchmuller, P

    W. Buchmuller, P. Di Bari, and M. Plumacher, Annals Phys. 315, 305 (2005), arXiv:hep- ph/0401240

    work page arXiv 2005

  19. [19]

    Baryogenesis via leptogenesis

    A. Strumia, in Les Houches Summer School on Theoretical Physics: Session 84: Particle Physics Beyond the Standard Model (2006) pp. 655–680, arXiv:hep-ph/0608347

    work page internal anchor Pith review Pith/arXiv arXiv 2006

  20. [20]

    More Model-Independent Analysis of b->s Processes

    G. Hiller and F. Kruger, Phys. Rev. D 69, 074020 (2004), arXiv:hep-ph/0310219

    work page internal anchor Pith review Pith/arXiv arXiv 2004

  21. [21]

    Aaij et al

    R. Aaij et al. (LHCb), Phys. Rev. Lett. 131, 051803 (2023), arXiv:2212.09152 [hep-ex]

    work page arXiv 2023

  22. [22]

    Aaij et al

    R. Aaij et al. (LHCb), Phys. Rev. D 108, 032002 (2023), arXiv:2212.09153 [hep-ex]

    work page arXiv 2023

  23. [23]

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

    R. Aaij et al. (LHCb), Phys. Rev. Lett. 111, 191801 (2013), arXiv:1308.1707 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  24. [24]

    Angular analysis of the $B^{0}\rightarrow K^{*0}\mu^{+}\mu^{-}$ decay using $3\,\mbox{fb}^{-1}$ of integrated luminosity

    R. Aaij et al. (LHCb), JHEP 02, 104 (2016), arXiv:1512.04442 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  25. [25]

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

    M. Aaboud et al. (ATLAS), JHEP 10, 047 (2018), arXiv:1805.04000 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  26. [26]

    Aaij et al

    R. Aaij et al. (LHCb), Phys. Rev. Lett. 127, 151801 (2021), arXiv:2105.14007 [hep-ex]

    work page arXiv 2021

  27. [27]

    Angular analysis and differential branching fraction of the decay $B^0_s\to\phi\mu^+\mu^-$

    R. Aaij et al. (LHCb), JHEP 09, 179 (2015), arXiv:1506.08777 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  28. [28]

    Aaij et al

    R. Aaij et al. (LHCb), Phys. Rev. Lett. 128, 191802 (2022), arXiv:2110.09501 [hep-ex]

    work page arXiv 2022

  29. [29]

    Exploring dark matter, neutrino mass and $R_{K^{(*)},\phi}$ anomalies in $L_{\mu}-L_{\tau}$ model

    S. Singirala, S. Sahoo, and R. Mohanta, Phys. Rev. D 99, 035042 (2019), arXiv:1809.03213 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2019

  30. [30]

    Singirala, S

    S. Singirala, S. Sahoo, and R. Mohanta, Phys. Rev. D 105, 015033 (2022), arXiv:2106.03735 [hep-ph]

    work page arXiv 2022

  31. [31]

    Rajeev and R

    N. Rajeev and R. Dutta, Phys. Rev. D 105, 115028 (2022), arXiv:2112.11682 [hep-ph]

    work page arXiv 2022

  32. [32]

    Rajeev, N

    N. Rajeev, N. Sahoo, and R. Dutta, Phys. Rev. D 103, 095007 (2021), arXiv:2009.06213 [hep-ph]

    work page arXiv 2021

  33. [33]

    Das and R

    N. Das and R. Dutta, Phys. Rev. D 108, 095051 (2023), arXiv:2307.03615 [hep-ph]

    work page arXiv 2023

  34. [34]

    A. K. Yadav, M. K. Mohapatra, and S. Sahoo, in 22nd Conference on Flavor Physics and CP Violation (2024) arXiv:2408.16439 [hep-ph]

    work page arXiv 2024

  35. [35]

    M. K. Mohapatra and A. Giri, Phys. Rev. D 104, 095012 (2021), arXiv:2109.12382 [hep-ph]

    work page arXiv 2021

  36. [36]

    Dutta, Phys

    R. Dutta, Phys. Rev. D 100, 075025 (2019), arXiv:1906.02412 [hep-ph]

    work page arXiv 2019

  37. [37]

    M. K. Mohapatra, N. Rajeev, and R. Dutta, Phys. Rev. D 105, 115022 (2022), arXiv:2108.10106 [hep-ph]

    work page arXiv 2022

  38. [38]

    Effects of scalar leptoquark on semileptonic $\Lambda_b$ decays

    S. Sahoo and R. Mohanta, New J. Phys. 18, 093051 (2016), arXiv:1607.04449 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  39. [39]

    Bobeth, A

    C. Bobeth, A. J. Buras, F. Kruger, and J. Urban, Nucl. Phys. B630, 87 (2002), arXiv:hep- ph/0112305 [hep-ph]

    work page arXiv 2002

  40. [40]

    Descotes-Genon, S

    S. Descotes-Genon, S. Fajfer, J. F. Kamenik, and M. Novoa-Brunet, Phys. Lett. B 809, 20 135769 (2020), [Addendum: Phys.Lett.B 840, 137830 (2023)], arXiv:2005.03734 [hep-ph]

    work page arXiv 2020

  41. [41]

    Fajfer, N

    S. Fajfer, N. Koˇ snik, and L. Vale Silva, Eur. Phys. J. C 78, 275 (2018), arXiv:1802.00786 [hep-ph]

    work page arXiv 2018

  42. [42]

    M. K. Mohapatra, A. K. Yadav, and S. Sahoo, (2024), arXiv:2409.01269 [hep-ph]

    work page arXiv 2024

  43. [43]

    A. K. Yadav, M. K. Mohapatra, and S. Sahoo, (2024), arXiv:2409.09737 [hep-ph]

    work page arXiv 2024

  44. [44]

    One Leptoquark to Rule Them All: A Minimal Explanation for $R_{D^{(*)}}$, $R_K$ and $(g-2)_\mu$

    M. Bauer and M. Neubert, Phys. Rev. Lett. 116, 141802 (2016), arXiv:1511.01900 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  45. [45]

    D. Das, C. Hati, G. Kumar, and N. Mahajan, Phys. Rev. D 94, 055034 (2016), arXiv:1605.06313 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  46. [46]

    Leptoquark model to explain the $B$-physics anomalies, $R_K$ and $R_D$

    D. Beˇ cirevi´ c, S. Fajfer, N. Koˇ snik, and O. Sumensari, Phys. Rev. D94, 115021 (2016), arXiv:1608.08501 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  47. [47]

    Explaining the $R_{K}$ and $R_{D^{(*)}}$ anomalies with vector leptoquarks

    S. Sahoo, R. Mohanta, and A. K. Giri, Phys. Rev. D 95, 035027 (2017), arXiv:1609.04367 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  48. [48]

    Leptoquark Flavor Patterns & B Decay Anomalies

    G. Hiller, D. Loose, and K. Sch¨ onwald, JHEP 12, 027 (2016), arXiv:1609.08895 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  49. [49]

    Addressing the LHC flavour anomalies with horizontal gauge symmetries

    A. Crivellin, G. D’Ambrosio, and J. Heeck, Phys. Rev. D91, 075006 (2015), arXiv:1503.03477 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  50. [50]

    P. Ko, Y. Omura, Y. Shigekami, and C. Yu, Phys. Rev. D 95, 115040 (2017), arXiv:1702.08666 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  51. [51]

    S. F. King, JHEP 08, 019 (2017), arXiv:1706.06100 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  52. [52]

    Minimal flavor-changing $Z'$ models and muon $g-2$ after the $R_{K^*}$ measurement

    S. Di Chiara, A. Fowlie, S. Fraser, C. Marzo, L. Marzola, M. Raidal, and C. Spethmann, Nucl. Phys. B 923, 245 (2017), arXiv:1704.06200 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  53. [53]

    Anomaly-free local horizontal symmetry and anomaly-full rare B-decays

    R. Alonso, P. Cox, C. Han, and T. T. Yanagida, Phys. Rev. D 96, 071701 (2017), arXiv:1704.08158 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  54. [54]

    $U(1)_{B_3-3L_\mu}$ gauge symmetry as a simple description of $b\to s$ anomalies

    C. Bonilla, T. Modak, R. Srivastava, and J. W. F. Valle, Phys. Rev. D 98, 095002 (2018), arXiv:1705.00915 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  55. [55]

    Anomaly-Free Models for Flavour Anomalies

    J. Ellis, M. Fairbairn, and P. Tunney, Eur. Phys. J. C 78, 238 (2018), arXiv:1705.03447 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  56. [56]

    Observation of $J/\psi p$ resonances consistent with pentaquark states in ${\Lambda_b^0\to J/\psi K^-p}$ decays

    R. Aaij et al. (LHCb), Phys. Rev. Lett. 115, 072001 (2015), arXiv:1507.03414 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  57. [57]

    Aaij et al

    R. Aaij et al. (LHCb), JHEP 05, 040 (2020), arXiv:1912.08139 [hep-ex]

    work page arXiv 2020

  58. [58]

    A Classification of Dark Matter Candidates with Primarily Spin-Dependent Interactions with Matter

    P. Agrawal, Z. Chacko, C. Kilic, and R. K. Mishra, (2010), arXiv:1003.1912 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  59. [59]

    A. V. Semenov, (1996), arXiv:hep-ph/9608488 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 1996

  60. [60]

    CompHEP - a package for evaluation of Feynman diagrams and integration over multi-particle phase space. User's manual for version 33

    A. Pukhov, E. Boos, M. Dubinin, V. Edneral, V. Ilyin, D. Kovalenko, A. Kryukov, V. Savrin, 21 S. Shichanin, and A. Semenov, (1999), arXiv:hep-ph/9908288 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 1999

  61. [61]

    micrOMEGAs2.0: a program to calculate the relic density of dark matter in a generic model

    G. Belanger, F. Boudjema, A. Pukhov, and A. Semenov, Comput. Phys. Commun. 176, 367 (2007), arXiv:hep-ph/0607059 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2007

  62. [62]

    Dark matter direct detection rate in a generic model with micrOMEGAs2.2

    G. Belanger, F. Boudjema, A. Pukhov, and A. Semenov, Comput. Phys. Commun. 180, 747 (2009), arXiv:0803.2360 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2009

  63. [63]

    Dark Matter Search Results from the Complete Exposure of the PICO-60 C$_3$F$_8$ Bubble Chamber

    C. Amole et al. (PICO), Phys. Rev. D 100, 022001 (2019), arXiv:1902.04031 [astro-ph.CO]

    work page internal anchor Pith review Pith/arXiv arXiv 2019

  64. [64]

    Planck 2018 results. VI. Cosmological parameters

    N. Aghanim et al. (Planck), (2018), arXiv:1807.06209 [astro-ph.CO]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  65. [65]

    Verifiable Radiative Seesaw Mechanism of Neutrino Mass and Dark Matter

    E. Ma, Phys. Rev. D73, 077301 (2006), arXiv:hep-ph/0601225 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2006

  66. [66]

    Computer tools in particle physics

    A. Vicente, (2015), arXiv:1507.06349 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  67. [67]

    Photonic penguins at two loops and m_t-dependence of BR[ B -> X_s l^+ l^-]

    C. Bobeth, M. Misiak, and J. Urban, Nucl. Phys. B574, 291 (2000), arXiv:hep-ph/9910220 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2000

  68. [68]

    A. J. Buras and M. Munz, Phys. Rev. D 52, 186 (1995), arXiv:hep-ph/9501281

    work page internal anchor Pith review Pith/arXiv arXiv 1995

  69. [69]

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

    R. Aaij et al. (LHCb), JHEP 06, 133 (2014), arXiv:1403.8044 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  70. [70]

    Measurements of the S-wave fraction in $B^{0}\rightarrow K^{+}\pi^{-}\mu^{+}\mu^{-}$ decays and the $B^{0}\rightarrow K^{\ast}(892)^{0}\mu^{+}\mu^{-}$ differential branching fraction

    R. Aaij et al. (LHCb), JHEP 11, 047 (2016), [Erratum: JHEP 04, 142 (2017)], arXiv:1606.04731 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  71. [71]

    Aaij et al

    R. Aaij et al. (LHCb), Phys. Rev. Lett. 125, 011802 (2020), arXiv:2003.04831 [hep-ex]

    work page arXiv 2020

  72. [72]

    Aaij et al

    R. Aaij et al. (LHCb), Phys. Rev. Lett. 126, 161802 (2021), arXiv:2012.13241 [hep-ex]

    work page arXiv 2021

  73. [73]

    D. M. Straub, (2018), arXiv:1810.08132 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  74. [74]

    Navas et al

    S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024)

    work page 2024

  75. [75]

    Descotes-Genon and M

    S. Descotes-Genon and M. Novoa-Brunet, JHEP 06, 136 (2019), [Erratum: JHEP 06, 102 (2020)], arXiv:1903.00448 [hep-ph]

    work page arXiv 2019

  76. [76]

    Das and J

    D. Das and J. Das, JHEP 07, 002 (2020), arXiv:2003.08366 [hep-ph]

    work page arXiv 2020

  77. [77]

    Li, S.-P

    Y.-S. Li, S.-P. Jin, J. Gao, and X. Liu, Phys. Rev. D 107, 093003 (2023), arXiv:2210.04640 [hep-ph] . 22

    work page arXiv 2023