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arxiv: 2605.23759 · v1 · pith:WNEDXAFWnew · submitted 2026-05-22 · ✦ hep-ph · hep-ex

Correlated b to s and s to d Rare Semileptonic Transitions in the Standard Model Effective Field Theory

Nilakshi Das , Rusa Mandal , Praveen S Patil This is my paper

Pith reviewed 2026-05-25 03:52 UTC · model grok-4.3

classification ✦ hep-ph hep-ex
keywords SMEFTb to s anomaliesrare semileptonic decaysflavor symmetrieskaon decaysWilson coefficientsCP asymmetriesneutrino modes
0
0 comments X

The pith

Four-fermion left-handed operators best describe b to s data in SMEFT while U(3)^5 and U(2)^5 symmetries align s to d predictions with kaon bounds.

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

The paper explores correlated effects of new physics on rare semileptonic b to s and s to d transitions using dimension-six operators in the Standard Model Effective Field Theory. It fits the operators to existing b to s muon-pair and neutrino-pair data with complex coefficients and identifies the left-handed four-fermion operators as the preferred choice, with an electroweak operator that alters Z-boson couplings providing further improvement. Flavor-universal versions of these operators produce kaon decay rates far above experimental limits, so the authors introduce U(3)^5 and U(2)^5 flavor symmetries that automatically generate the observed CKM hierarchies and bring the kaon predictions back into agreement with data. This framework also allows study of differential distributions in B to K star neutrino decays and possible CP asymmetries in muon modes.

Core claim

Within SMEFT the present b to s semileptonic data favors four-fermion operators built from left-handed quark and lepton doublets, while the electroweak operator that modifies Z couplings contributes meaningfully to the global fit. Flavor-symmetric frameworks based on U(3)^5 and U(2)^5 automatically restore the CKM hierarchies required for s to d transitions, so that the same operators remain compatible with current experimental limits on rare kaon decays.

What carries the argument

Dimension-six SMEFT four-fermion operators involving left-handed doublets together with the electroweak operator, supplemented by U(3)^5 and U(2)^5 flavor symmetries.

If this is right

  • Flavor-universal SMEFT couplings produce kaon branching ratios that exceed present experimental bounds, requiring minimal flavor violation.
  • Differential distributions in B to K(*) nu nu decays as functions of q2 and q2_rec distinguish among the different new-physics operators.
  • Complex Wilson coefficients generate percent-level CP asymmetries in specific q2 regions of B to K(*) mu mu decays.
  • The same operators fitted to b to s data can be used for s to d processes once the flavor symmetries are imposed.

Where Pith is reading between the lines

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

  • Future kaon experiments with higher precision could directly test whether the same operator coefficients explain both sectors.
  • If the pattern holds, analogous correlations might appear in other down-type quark transitions such as those involving charm quarks.
  • Extending the global fit to include additional observables from both b and s sectors would further tighten the allowed coefficient ranges.

Load-bearing premise

The b to s anomalies are produced by new physics captured entirely by a global fit of dimension-six SMEFT operators that can be applied unchanged to s to d transitions once one of the two flavor symmetries is imposed.

What would settle it

A high-precision measurement of the K to pi nu nu branching ratio that lies well outside the range predicted by the U(3)^5 or U(2)^5 symmetric operators while the b to s fit remains unchanged would falsify the correlated description.

Figures

Figures reproduced from arXiv: 2605.23759 by Nilakshi Das, Praveen S Patil, Rusa Mandal.

Figure 1
Figure 1. Figure 1: Confidence level contours in the complex plane [PITH_FULL_IMAGE:figures/full_fig_p011_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Differential distributions for B → Kνν¯ (top panels) and B → K∗ νν¯ (bottom panels), shown as functions of q 2 (left) and q 2 rec (right) for different NP Wilson coefficients. transfer is given by q 2 = (pB − pK(∗) ) 2 , the quantity q 2 rec serves as an experimentally accessible proxy. Importantly, the corresponding differential distribution dΓ/dq2 rec retains full sensitivity to the short-distance Wilson… view at source ↗
read the original abstract

The persistent anomalies observed in $b \to s\,(\ell^+\ell^-,\,\nu\bar{\nu})$ transitions continue to provide strong motivation for exploring possible extensions of the Standard Model (SM). Motivated by these discrepancies, we present a comprehensive analysis of semileptonic flavor changing neutral current processes within the Standard Model Effective Field Theory (SMEFT), encompassing both $b \to s\,(\mu^+\mu^-,\,\nu\bar{\nu})$ and $s \to d\,(\mu^+\mu^-,\,\nu\bar{\nu})$ transitions. We perform a combined fit to $b \to s\,(\mu^+\mu^-,\,\nu\bar{\nu})$ observables, allowing the relevant dimension-six Wilson coefficients to be complex. We find that the four-fermion operators involving left-handed quark and lepton doublets provide the preferred description of the current $b \to s$ data, while the electroweak operator modifying the $Z$-boson couplings also plays an important role in improving the fit. We show that flavor-universal SMEFT couplings lead to strongly enhanced rare semileptonic kaon decay branching ratios, in conflict with current experimental bounds and thus motivating the implementation of Minimal Flavor Violation. In particular, we demonstrate that flavor-symmetric frameworks based on $U(3)^5$ and $U(2)^5$ naturally restore the required CKM hierarchies and bring the predicted kaon observables into agreement with present data. We further analyze the differential distributions with respect to the dineutrino invariant mass squared $q^2$, as well as the reconstructed variable $q^2_{\mathrm{rec}}$, in $B \to K^{(*)}\nu\bar{\nu}$ decays, demonstrating their sensitivity to different new physics operators. In addition, we investigate the impact of complex Wilson coefficients on $\mathcal{CP}$ asymmetries in $B \to K^{(*)}\mu^+\mu^-$ decays and find that percent-level effects can arise in specific $q^2$ regions.

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

0 major / 3 minor

Summary. The paper performs a global SMEFT fit to current b→s (μ⁺μ⁻, νν̄) data allowing complex dimension-six Wilson coefficients, finds a preference for left-handed four-fermion operators involving quark and lepton doublets together with the electroweak operator, shows that flavor-universal coefficients over-enhance rare kaon decays in conflict with data, and demonstrates that imposing U(3)⁵ or U(2)⁵ flavor symmetry restores the necessary CKM suppression so that the same coefficients yield kaon rates consistent with experiment. It additionally studies q² and q²_rec distributions in B→K(*)νν̄ and CP asymmetries in B→K(*)μμ.

Significance. If the fit results and symmetry implementation hold, the work supplies an explicit, reproducible illustration of how minimal flavor violation in SMEFT correlates b→s anomalies with s→d constraints, automatically satisfying kaon bounds once the symmetry is imposed. The differential-distribution and CP-asymmetry analyses provide concrete experimental handles. The approach follows standard MFV logic but makes the correlation between sectors quantitatively explicit.

minor comments (3)
  1. The abstract and introduction state that the fit prefers left-handed four-fermion operators plus the electroweak operator, but the manuscript should tabulate the Δχ² improvement and best-fit values (with uncertainties) for these coefficients relative to the SM-only hypothesis to substantiate the preference claim.
  2. Notation for the Wilson coefficients (e.g., C_{ℓq}^{(1,3)} versus C_{ϕℓ}) should be defined once in a dedicated table or equation block early in the text, as the same symbols appear in both the b→s fit and the kaon predictions.
  3. Figure captions for the q² distributions should explicitly state which operator combinations are shown in each panel and whether the bands include only statistical or also theoretical uncertainties from the fit.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their positive summary of our work and the recommendation for minor revision. The referee's description accurately reflects the scope of the SMEFT global fit, the preference for left-handed operators, and the demonstration that U(3)^5 or U(2)^5 symmetry restores consistency with kaon data.

Circularity Check

0 steps flagged

No significant circularity identified

full rationale

The paper performs a fit of dimension-six SMEFT Wilson coefficients to b→s data and then imposes U(3)^5 or U(2)^5 flavor symmetries to relate the same coefficients to s→d transitions. The resulting kaon predictions follow from the symmetry-imposed CKM suppression factors applied to the fitted values; this is a standard MFV construction that generates independent constraints from separate observables rather than reducing outputs to inputs by definition. No self-definitional equations, fitted parameters renamed as predictions, or load-bearing self-citations appear in the derivation chain.

Axiom & Free-Parameter Ledger

1 free parameters · 2 axioms · 0 invented entities

The central claim rests on the validity of the SMEFT expansion at the electroweak scale, the assumption that current b to s anomalies are due to new physics, and the global fit of dimension-six Wilson coefficients to experimental data.

free parameters (1)
  • Wilson coefficients of dimension-six operators
    Multiple complex coefficients for four-fermion and electroweak operators are fitted to b to s observables.
axioms (2)
  • domain assumption Dimension-six SMEFT operators capture all relevant new physics effects below the cutoff scale
    Invoked throughout the analysis of b to s and s to d transitions.
  • domain assumption The observed discrepancies in b to s decays are due to new physics rather than experimental or SM uncertainties
    Motivation stated in the abstract for performing the fit.

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Reference graph

Works this paper leans on

62 extracted references · 57 canonical work pages · 36 internal anchors

  1. [1]

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

    LHCb Collaboration, R. Aaijet al., Differential branching fractions and isospin asymme- tries of B → K(∗)µ+µ− decays, JHEP 06 (2014) 133, arXiv:1403.8044 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  2. [2]

    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

    LHCb Collaboration, R. Aaij et al., Measurements of the S-wave fraction in B0 → K+π−µ+µ− decays and the B0 → K ∗(892)0µ+µ− differential branching fraction, JHEP 11 (2016) 047, arXiv:1606.04731 [hep-ex] . [Erratum: JHEP 04, 142 (2017)]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  3. [3]

    Aaij et al., Measurement of lepton universality parameters in B+ → K+ℓ+ℓ− and B0 → K ∗0ℓ+ℓ− decays, Phys

    LHCb Collaboration, R. Aaij et al., Measurement of lepton universality parameters in B+ → K+ℓ+ℓ− and B0 → K ∗0ℓ+ℓ− decays, Phys. Rev. D 108 no. 3, (2023) 032002, arXiv:2212.09153 [hep-ex]

    work page arXiv 2023

  4. [4]

    Hayrapetyan et al., Test of lepton flavor universality in B±→ K±µ+µ− and B ±→ K±e+e− decays in proton-proton collisions at √s = 13 TeV , arXiv:2401.07090 [hep-ex]

    CMS Collaboration, A. Hayrapetyan et al., Test of lepton flavor universality in B±→ K±µ+µ− and B ±→ K±e+e− decays in proton-proton collisions at √s = 13 TeV , arXiv:2401.07090 [hep-ex] . 31

    work page arXiv

  5. [5]

    Aaijet al., Measurement ofCP-Averaged Observables in theB0 → K ∗0µ+µ− Decay, Phys

    LHCbCollaboration, R. Aaijet al., Measurement ofCP-Averaged Observables in theB0 → K ∗0µ+µ− Decay, Phys. Rev. Lett.125 no. 1, (2020) 011802,arXiv:2003.04831 [hep-ex]

    work page arXiv 2020

  6. [6]

    Hayrapetyanet al., Angular analysis of theB0 → K ∗(892)0µ+µ− decay in proton-proton collisions at √s = 13 TeV, Phys

    CMS Collaboration, A. Hayrapetyanet al., Angular analysis of theB0 → K ∗(892)0µ+µ− decay in proton-proton collisions at √s = 13 TeV, Phys. Lett. B 864 (2025) 139406, arXiv:2411.11820 [hep-ex]

    work page arXiv 2025

  7. [7]

    Adachiet al., Evidence for B+ → K+ν¯ν decays, Phys

    Belle-II Collaboration, I. Adachiet al., Evidence for B+ → K+ν¯ν decays, Phys. Rev. D 109 no. 11, (2024) 112006,arXiv:2311.14647 [hep-ex]

    work page arXiv 2024

  8. [8]

    A. J. Buras, F. Schwab, and S. Uhlig,Waiting for precise measurements ofK+ → π+ν¯ν and KL → π0ν¯ν, Rev. Mod. Phys.80 (2008) 965–1007,arXiv:hep-ph/0405132

    work page internal anchor Pith review Pith/arXiv arXiv 2008

  9. [9]

    Insights from the Interplay of K -> pi nu anti-nu and epsilon_K on the New Physics Flavour Structure

    M. Blanke, Insights from the interplay of K → πν ¯ν and εK on the new-physics flavour structure, Acta Phys. Polon. B41 (2010) 127, arXiv:0904.2528 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  10. [10]

    Cortina Gilet al., Measurement of the very rare K+→π+νν decay, JHEP 06 (2021) 093, arXiv:2103.15389 [hep-ex]

    NA62 Collaboration, E. Cortina Gilet al., Measurement of the very rare K+→π+νν decay, JHEP 06 (2021) 093, arXiv:2103.15389 [hep-ex]

    work page arXiv 2021

  11. [11]

    KOTO Collaboration, J. K. Ahn et al., Search for the KL → π0νν and KL → π0X0 decays at the J-PARC KOTO experiment, Phys. Rev. Lett. 122 no. 2, (2019) 021802, arXiv:1810.09655 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2019

  12. [12]

    Bloch, S

    P. Bloch, S. Brehin, G. Bunce, B. Devaux, A. M. Diamant-Berger, N. Do-Duc, G. Marel, R. Turlay, P. Extermann, J. Fischer, O. Guisan, R. Mermod, L. Rosselet, and R. Sachot, Observation of thek+ → π+e+e− decay, Phys. Lett. B56 no. 2, (1975) 201–204

    1975

  13. [13]

    A new measurement of the properties of the rare decay K -> pi+ e+ e-

    E865 Collaboration, R. Appelet al., A New measurement of the properties of the rare decay K+ → π+e+e−, Phys. Rev. Lett.83 (1999) 4482–4485,arXiv:hep-ex/9907045

    work page internal anchor Pith review Pith/arXiv arXiv 1999

  14. [14]

    NA48/2 Collaboration, J. R. Batley et al., Precise measurement of theK+ → π+e+e− decay, Phys. Lett. B677 (2009) 246–254,arXiv:0903.3130 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2009

  15. [15]

    NA48/2 Collaboration, J. R. Batleyet al., New measurement of theK+ → π+µ−µ+ decay, Phys. Lett. B697 (2011) 107–115,arXiv:1011.4817 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  16. [16]

    Cortina Gilet al., A measurement of theK+ → π+µ+µ− decay, JHEP 11 (2022) 011, arXiv:2209.05076 [hep-ex]

    NA62 Collaboration, E. Cortina Gilet al., A measurement of theK+ → π+µ+µ− decay, JHEP 11 (2022) 011, arXiv:2209.05076 [hep-ex] . [Addendum: JHEP 06, 040 (2023)]

    work page arXiv 2022

  17. [17]

    Search for the Rare Decay KL --> pi0 ee

    KTeV Collaboration, A. Alavi-Harati et al., Search for the Rare DecayKL → π0e+e−, Phys. Rev. Lett.93 (2004) 021805, arXiv:hep-ex/0309072

    work page internal anchor Pith review Pith/arXiv arXiv 2004

  18. [18]

    Search for the Decay $K_L \to \pi^0 \mu^+ \mu^-$

    KTEV Collaboration, A. Alavi-Haratiet al., Search for the DecayKL → π0µ+µ−, Phys. Rev. Lett.84 (2000) 5279–5282,arXiv:hep-ex/0001006

    work page internal anchor Pith review Pith/arXiv arXiv 2000

  19. [19]

    J. A. Baileyet al., B → Kl+l− Decay Form Factors from Three-Flavor Lattice QCD, Phys. Rev. D 93 no. 2, (2016) 025026,arXiv:1509.06235 [hep-lat]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  20. [20]

    (HPQCD collaboration)§, HPQCD Collaboration, W. G. Parrott, C. Bouchard, and C. T. H. Davies,B→K and D→K form factors from fully relativistic lattice QCD, Phys. Rev. D 107 no. 1, (2023) 014510,arXiv:2207.12468 [hep-lat] . 32

    work page arXiv 2023

  21. [21]

    A. J. Buras, J. Girrbach-Noe, C. Niehoff, and D. M. Straub,B → K(∗)νν decays in the Standard Model and beyond, JHEP 02 (2015) 184, arXiv:1409.4557 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  22. [22]

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

    A. Bharucha, D. M. Straub, and R. Zwicky, B → V ℓ+ℓ− in the Standard Model from light-cone sum rules, JHEP 08 (2016) 098, arXiv:1503.05534 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  23. [23]

    Charm-loop effect in $B \to K^{(*)} \ell^{+} \ell^{-}$ and $B\to K^*\gamma$

    A. Khodjamirian, T. Mannel, A. A. Pivovarov, and Y. M. Wang,Charm-loop effect in B → K(∗)ℓ+ℓ− and B → K ∗γ, JHEP 09 (2010) 089, arXiv:1006.4945 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  24. [24]

    Gubernari, D

    N. Gubernari, D. van Dyk, and J. Virto,Non-local matrix elements inB(s) → {K(∗), ϕ}ℓ+ℓ−, JHEP 02 (2021) 088, arXiv:2011.09813 [hep-ph]

    work page arXiv 2021

  25. [25]

    M. S. A. Alam Khan, R. Mandal, P. S. Patil, and I. Ray,Investigating non-local contribu- tions in Bs → ϕℓℓ including higher-twist effects, JHEP 07 (2025) 068, arXiv:2502.08427 [hep-ph]

    work page arXiv 2025

  26. [26]

    The Decays $K \to \pi \ell^+ \ell^-$ beyond Leading Order in the Chiral Expansion

    G. D’Ambrosio, G. Ecker, G. Isidori, and J. Portoles,The decaysK → πℓ+ℓ− beyond leading order in the chiral expansion, JHEP 08 (1998) 004, arXiv:hep-ph/9808289

    work page internal anchor Pith review Pith/arXiv arXiv 1998

  27. [27]

    C.-H. Chen, C. Q. Geng, and I.-L. Ho,Forward-backward asymmetry inK+ → π+ℓ+ℓ−, Phys. Rev. D67 (2003) 074029, arXiv:hep-ph/0302207

    work page internal anchor Pith review Pith/arXiv arXiv 2003

  28. [28]

    Kaon Decays in the Standard Model

    V. Cirigliano, G. Ecker, H. Neufeld, A. Pich, and J. Portoles,Kaon Decays in the Standard Model, Rev. Mod. Phys.84 (2012) 399, arXiv:1107.6001 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  29. [29]

    S.Descotes-Genon, S.Fajfer, J.F.Kamenik, andM.Novoa-Brunet, Implications ofb → sµµ anomalies for future measurements ofB → K(∗)ν¯ν and K → πν ¯ν, Phys. Lett. B809 (2020) 135769, arXiv:2005.03734 [hep-ph] . [Addendum: Phys.Lett.B 840, 137830 (2023)]

    work page arXiv 2020

  30. [30]

    Abudinén et al., Search for B+ → K+ν¯ν decays using an inclusive tagging method at Belle II , Phys

    Belle-II Collaboration, F. Abudinén et al., Search for B+ → K+ν¯ν decays using an inclusive tagging method at Belle II , Phys. Rev. Lett. 127 no. 18, (2021) 181802, arXiv:2104.12624 [hep-ex]

    work page arXiv 2021

  31. [31]

    T. E. Browder, N. G. Deshpande, R. Mandal, and R. Sinha,Impact of B → Kν ¯ν mea- surements on beyond-the-Standard-Model theories, Phys. Rev. D104 no. 5, (2021) 053007, arXiv:2107.01080 [hep-ph]

    work page arXiv 2021

  32. [32]

    A Global Likelihood for Precision Constraints and Flavour Anomalies

    J. Aebischer, J. Kumar, P. Stangl, and D. M. Straub,A Global Likelihood for Precision Con- straints and Flavour Anomalies, Eur. Phys. J. C79 no. 6, (2019) 509,arXiv:1810.07698 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2019

  33. [33]

    Mandal and A

    R. Mandal and A. Pich,Constraints on scalar leptoquarks from lepton and kaon physics, JHEP 12 (2019) 089, arXiv:1908.11155 [hep-ph]

    work page arXiv 2019

  34. [34]

    Dimension-Six Terms in the Standard Model Lagrangian

    B. Grzadkowski, M. Iskrzynski, M. Misiak, and J. Rosiek,Dimension-Six Terms in the Standard Model Lagrangian, JHEP 10 (2010) 085, arXiv:1008.4884 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  35. [35]

    New strategies for New Physics search in B -> K* nu anti-nu, B -> K nu anti-nu and B -> X(s) nu anti-nu decays

    W. Altmannshofer, A. J. Buras, D. M. Straub, and M. Wick, New strategies for New Physics search in B → K ∗ν¯ν, B → Kν ¯ν and B → Xsν¯ν decays, JHEP 04 (2009) 022, arXiv:0902.0160 [hep-ph] . 33

    work page internal anchor Pith review Pith/arXiv arXiv 2009

  36. [36]

    Bobeth and A

    C. Bobeth and A. J. Buras,Leptoquarks meetε′/ε and rare Kaon processes, JHEP 02 (2018) 101, arXiv:1712.01295 [hep-ph]

    work page arXiv 2018

  37. [37]

    Neshatpour, T

    S. Neshatpour, T. Hurth, F. Mahmoudi, and D. Martinez Santos,Neutral Current B-Decay Anomalies, Springer Proc. Phys.292 (2023) 11–21,arXiv:2210.07221 [hep-ph]

    work page arXiv 2023

  38. [38]

    G.Buchalla, A.J.Buras, andM.E.Lautenbacher, Weak Decays beyond Leading Logarithms, Rev. Mod. Phys.68 (1996) 1125–1144,arXiv:hep-ph/9512380

    work page internal anchor Pith review Pith/arXiv arXiv 1996

  39. [39]

    J. Brod, M. Gorbahn, and E. Stamou,Two-Loop Electroweak Corrections for theK → πν ¯ν Decays, Phys. Rev. D83 (2011) 034030, arXiv:1009.0947 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  40. [40]

    Light-quark Loops in K->pi nu nu

    G. Isidori, F. Mescia, and C. Smith,Light-quark loops in K → πν ¯ν, Nucl. Phys. B 718 (2005) 319–338,arXiv:hep-ph/0503107

    work page internal anchor Pith review Pith/arXiv arXiv 2005

  41. [41]

    Electroweak Corrections to the Charm Quark Contribution to K+ -> pi+ nu nu-bar

    J. Brod and M. Gorbahn,Electroweak corrections to the charm-quark contribution toK+ → π+ν¯ν, Phys. Rev. D78 (2008) 034006, arXiv:0805.4119 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2008

  42. [42]

    Search for $\boldsymbol{B\to h\nu\bar{\nu}}$ decays with semileptonic tagging at Belle

    Belle Collaboration, J. Grygieret al., Search for B → hν ¯ν decays with semileptonic tag- ging at Belle, Phys. Rev. D 96 no. 9, (2017) 091101, arXiv:1702.03224 [hep-ex] . [Ad- dendum: Phys.Rev.D 97, 099902 (2018)]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  43. [43]

    KOTO Collaboration, J. K. Ahn et al., Search for the KL→π0νν¯ Decay at the J- PARC KOTO Experiment, Phys. Rev. Lett.134 no. 8, (2025) 081802,arXiv:2411.11237 [hep-ex]

    work page arXiv 2025

  44. [44]

    Biswas, S

    A. Biswas, S. Nandi, S. K. Patra, and I. Ray,New physics inb → sℓℓ decays with complex Wilson coefficients, Nucl. Phys. B969 (2021) 115479, arXiv:2004.14687 [hep-ph]

    work page arXiv 2021

  45. [45]

    Berezhnoy, W

    A. Berezhnoy, W. Lucha, and D. Melikhov,Analysis of qrec2-distribution for B→KMX and B→K*MX decays in a scalar-mediator dark-matter scenario, Phys. Rev. D111no. 7, (2025) 075035, arXiv:2502.14313 [hep-ph]

    work page arXiv 2025

  46. [46]

    A. J. Buras, Minimal flavor violation , Acta Phys. Polon. B 34 (2003) 5615–5668, arXiv:hep-ph/0310208

    work page internal anchor Pith review Pith/arXiv arXiv 2003

  47. [47]

    A. J. Buras, M. Gorbahn, U. Haisch, and U. Nierste,The rare decayK+ → π+ν¯ν at next-to- next-to-leading order in QCD, Phys. Rev. Lett.95 (2005) 261805, arXiv:hep-ph/0508165

    work page internal anchor Pith review Pith/arXiv arXiv 2005

  48. [48]

    Minimal Flavour Violation and Beyond

    G. Isidori and D. M. Straub,Minimal Flavour Violation and Beyond, Eur. Phys. J. C72 (2012) 2103, arXiv:1202.0464 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  49. [49]

    Minimal Flavour Violation: an effective field theory approach

    G. D’Ambrosio, G. F. Giudice, G. Isidori, and A. Strumia,Minimal flavor violation: An Effective field theory approach, Nucl. Phys. B645 (2002) 155–187,arXiv:hep-ph/0207036

    work page internal anchor Pith review Pith/arXiv arXiv 2002

  50. [50]

    D. A. Faroughy, G. Isidori, F. Wilsch, and K. Yamamoto, Flavour symmetries in the SMEFT, JHEP 08 (2020) 166, arXiv:2005.05366 [hep-ph]

    work page arXiv 2020

  51. [51]

    Belle Collaboration, J. T. Weiet al., Measurement of the Differential Branching Fraction and Forward-Backward Asymmetry forB → K(∗)ℓ+ℓ−, Phys. Rev. Lett.103 (2009) 171801, arXiv:0904.0770 [hep-ex] . 34

    work page internal anchor Pith review Pith/arXiv arXiv 2009

  52. [52]

    BaBar Collaboration, J. P. Lees et al., Measurement of Branching Fractions and Rate Asymmetries in the Rare Decays B → K(∗)l+l−, Phys. Rev. D 86 (2012) 032012, arXiv:1204.3933 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  53. [53]

    Measurement of $C\!P$ asymmetries in the decays $B^0 \rightarrow K^{*0} \mu^+ \mu^-$ and $B^+ \rightarrow K^{+} \mu^+ \mu^-$

    LHCb Collaboration, R. Aaijet al., Measurement ofC Pasymmetries in the decaysB0 → K ∗0µ+µ− and B+ → K+µ+µ−, JHEP 09 (2014) 177, arXiv:1408.0978 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  54. [54]

    Angular Distributions of B -> K ll Decays

    C. Bobeth, G. Hiller, and G. Piranishvili,Angular distributions of ¯B → ¯Kℓ+ℓ− decays, JHEP 12 (2007) 040, arXiv:0709.4174 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2007

  55. [55]

    Symmetries and Asymmetries of B -> K* mu+ mu- Decays in the Standard Model and Beyond

    W. Altmannshofer, P. Ball, A. Bharucha, A. J. Buras, D. M. Straub, and M. Wick,Symme- tries and Asymmetries ofB → K ∗µ+µ− Decays in the Standard Model and Beyond, JHEP 01 (2009) 019, arXiv:0811.1214 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2009

  56. [56]

    Systematic approach to exclusive B ->V l^+l^-, V gamma decays

    M. Beneke, T. Feldmann, and D. Seidel,Systematic approach to exclusiveB → V l+l−, V γ decays, Nucl. Phys. B612 (2001) 25–58,arXiv:hep-ph/0106067

    work page internal anchor Pith review Pith/arXiv arXiv 2001

  57. [57]

    Mahmoudi and Y

    F. Mahmoudi and Y. Monceaux,Overview of B → K(∗)ℓℓ Theoretical Calculations and Uncertainties, Symmetry 16 no. 8, (2024) 1006,arXiv:2408.03235 [hep-ph]

    work page arXiv 2024

  58. [58]

    Ecker, A

    G. Ecker, A. Pich, and E. de Rafael,koπγγ decays in chiral perturbation theory, Phys. Lett. B 189 (1987) 363

    1987

  59. [59]

    Bician, New measurement of the K+ → π+µ+µ− decay at NA62, PoS ICHEP2020 (2021) 364

    L. Bician, New measurement of the K+ → π+µ+µ− decay at NA62, PoS ICHEP2020 (2021) 364

    2021

  60. [60]

    Precision tests of the Standard Model with leptonic and semileptonic kaon decays

    FlaviaNet Working Group on Kaon Decays Collaboration, M. Antonelliet al., Pre- cision tests of the Standard Model with leptonic and semileptonic kaon decays, in 5th In- ternational Workshop on e+ e- Collisions from Phi to Psi. 1, 2008. arXiv:0801.1817 [hep-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2008

  61. [61]

    P. D. Group,Review of particle physics, Prog. Theor. Exp. Phys.2024 (2024) 083C01

    2024

  62. [62]

    Navas et al., Review of particle physics, Phys

    Particle Data Group Collaboration, S. Navas et al., Review of particle physics, Phys. Rev. D 110 no. 3, (2024) 030001. 35

    2024