Abstract
We present a model based on S1 scalar leptoquarks to solve the tension observed in the recently proposed non-leptonic optimized observables \( {L}_{K^{\ast }{\overline{K}}^{\ast }} \) and \( {L}_{K\overline{K}} \). These observables are constructed as ratios of U-spin related decays based on \( {B}_{d,s}^0\to {K}^{\left(\ast \right)0}{\overline{K}}^{\left(\ast \right)0} \). The model gives a one-loop contribution to the Wilson coefficient of the chromomagnetic dipole operator needed to explain the tension in both non-leptonic observables, while naturally avoiding large contributions to the corresponding electromagnetic dipoles. The necessary chiral enhancement comes from an O(1) Yukawa coupling with a TeV-scale right-handed neutrino running in the loop. We endow the model with a U(2) flavor symmetry, necessary to protect light-family flavor observables that otherwise would be in tension. Furthermore, we show that the same S1 scalar leptoquark is capable of simultaneously explaining the hints of lepton flavor universality violation observed in charged-current B-decays. The model therefore provides a potential link between two puzzles in B-physics and TeV-scale neutrino mass generation. Finally, the combined explanation of the B-physics puzzles unavoidably results in an enhancement of \( \mathcal{B}\left(B\to K\nu \overline{\nu}\right) \), yielding a value close to present bounds.
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References
LHCb collaboration, Measurement of lepton universality parameters in B+ → K+ℓ+ℓ− and B0 → K∗0ℓ+ℓ− decays, Phys. Rev. D 108 (2023) 032002 [arXiv:2212.09153] [INSPIRE].
LHCb collaboration, Test of lepton universality in b → sℓ+ℓ− decays, Phys. Rev. Lett. 131 (2023) 051803 [arXiv:2212.09152] [INSPIRE].
Heavy Flavor Averaging Group and HFLAV collaborations, Averages of b-hadron, c-hadron, and τ-lepton properties as of 2021, Phys. Rev. D 107 (2023) 052008 [arXiv:2206.07501] [INSPIRE].
LHCb collaboration, Measurement of the ratios of branching fractions \( \mathcal{R}\left({D}^{\ast}\right) \) and \( \mathcal{R}\left({D}^0\right) \), arXiv:2302.02886 [INSPIRE].
LHCb collaboration, Differential branching fractions and isospin asymmetries of B → K(∗)μ+μ− decays, JHEP 06 (2014) 133 [arXiv:1403.8044] [INSPIRE].
LHCb collaboration, 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 [Erratum ibid. 04 (2017) 142] [arXiv:1606.04731] [INSPIRE].
LHCb collaboration, Branching Fraction Measurements of the Rare \( {B}_s^0\to \phi {\mu}^{+}{\mu}^{-} \) and \( {B}_s^0\to {f}_2^{\prime } \) (1525)μ+μ−- Decays, Phys. Rev. Lett. 127 (2021) 151801 [arXiv:2105.14007] [INSPIRE].
S. Descotes-Genon, J. Matias, M. Ramon and J. Virto, Implications from clean observables for the binned analysis of B → K∗μ+μ− at large recoil, JHEP 01 (2013) 048 [arXiv:1207.2753] [INSPIRE].
LHCb collaboration, Measurement of CP-Averaged Observables in the B0 → K∗0μ+μ− Decay, Phys. Rev. Lett. 125 (2020) 011802 [arXiv:2003.04831] [INSPIRE].
LHCb collaboration, Angular Analysis of the B+ → K∗+μ+μ− Decay, Phys. Rev. Lett. 126 (2021) 161802 [arXiv:2012.13241] [INSPIRE].
B. Capdevila et al., Searching for New Physics with b → sτ+τ− processes, Phys. Rev. Lett. 120 (2018) 181802 [arXiv:1712.01919] [INSPIRE].
M. Algueró et al., Are we overlooking lepton flavour universal new physics in b → sℓℓ?, Phys. Rev. D 99 (2019) 075017 [arXiv:1809.08447] [INSPIRE].
M. Algueró et al., To (b)e or not to (b)e: no electrons at LHCb, Eur. Phys. J. C 83 (2023) 648 [arXiv:2304.07330] [INSPIRE].
G. Hiller and F. Kruger, More model-independent analysis of b → s processes, Phys. Rev. D 69 (2004) 074020 [hep-ph/0310219] [INSPIRE].
A. Biswas, S. Descotes-Genon, J. Matias and G. Tetlalmatzi-Xolocotzi, A new puzzle in non-leptonic B decays, JHEP 06 (2023) 108 [arXiv:2301.10542] [INSPIRE].
M. Algueró et al., A new B-flavour anomaly in \( {B}_{d,s}\to {K}^{\ast 0}{\overline{K}}^{\ast 0} \): anatomy and interpretation, JHEP 04 (2021) 066 [arXiv:2011.07867] [INSPIRE].
Y. Li, G.-H. Zhao, Y.-J. Sun and Z.-T. Zou, Family Non-universal Z′ Effects on \( {B}_{d,s}\to {K}^{\ast 0}{\overline{K}}^{\ast 0} \) Decays in Perturbative QCD Approach, Phys. Rev. D 106 (2022) 093009 [arXiv:2209.13389] [INSPIRE].
M. Beneke, G. Buchalla, M. Neubert and C.T. Sachrajda, QCD factorization in B → πK, ππ decays and extraction of Wolfenstein parameters, Nucl. Phys. B 606 (2001) 245 [hep-ph/0104110] [INSPIRE].
M. Beneke and M. Neubert, QCD factorization for B → PP and B → PV decays, Nucl. Phys. B 675 (2003) 333 [hep-ph/0308039] [INSPIRE].
M. Beneke, J. Rohrer and D. Yang, Branching fractions, polarisation and asymmetries of B → VV decays, Nucl. Phys. B 774 (2007) 64 [hep-ph/0612290] [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, PTEP 2022 (2022) 083C01 [INSPIRE].
BaBar collaboration, Observation of \( {B}^0\to {K}^{\ast 0}{\overline{K}}^{\ast 0} \) and search for B0 → K∗0K∗0, Phys. Rev. Lett. 100 (2008) 081801 [arXiv:0708.2248] [INSPIRE].
LHCb collaboration, Amplitude analysis of the \( {B}_{(s)}^0\to {K}^{\ast 0}{\overline{K}}^{\ast 0} \) decays and measurement of the branching fraction of the \( {B}^0\to {K}^{\ast 0}{\overline{K}}^{\ast 0} \) decay, JHEP 07 (2019) 032 [arXiv:1905.06662] [INSPIRE].
BaBar collaboration, Observation of \( {B}^{+}\to {\overline{K}}^0{K}^{+} \) and \( {B}^0\to {K}^0{\overline{K}}^0 \), Phys. Rev. Lett. 97 (2006) 171805 [hep-ex/0608036] [INSPIRE].
Belle collaboration, Measurements of branching fractions and direct CP asymmetries for B → Kπ, B → ππ and B → KK decays, Phys. Rev. D 87 (2013) 031103 [arXiv:1210.1348] [INSPIRE].
Belle collaboration, Observation of the decay \( {B}_s^0\to {K}^0{\overline{K}}^0 \), Phys. Rev. Lett. 116 (2016) 161801 [arXiv:1512.02145] [INSPIRE].
LHCb collaboration, Measurement of the branching fraction of the decay \( {B}_s^0\to {K}_S^0{K}_S^0 \), Phys. Rev. D 102 (2020) 012011 [arXiv:2002.08229] [INSPIRE].
CLEO collaboration, Flavor-specific inclusive B decays to charm, Phys. Rev. Lett. 80 (1998) 1150 [hep-ex/9710028] [INSPIRE].
C. Greub and P. Liniger, Calculation of next-to-leading QCD corrections to b → sg, Phys. Rev. D 63 (2001) 054025 [hep-ph/0009144] [INSPIRE].
R.S. Chivukula, E.H. Simmons and N. Vignaroli, A Flavorful Top-Coloron Model, Phys. Rev. D 87 (2013) 075002 [arXiv:1302.1069] [INSPIRE].
L. Di Luzio, A. Greljo and M. Nardecchia, Gauge leptoquark as the origin of B-physics anomalies, Phys. Rev. D 96 (2017) 115011 [arXiv:1708.08450] [INSPIRE].
A. Greljo and B.A. Stefanek, Third family quark-lepton unification at the TeV scale, Phys. Lett. B 782 (2018) 131 [arXiv:1802.04274] [INSPIRE].
CMS collaboration, Search for new physics with dijet angular distributions in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, JHEP 07 (2017) 013 [arXiv:1703.09986] [INSPIRE].
UTfit collaboration, Model-independent constraints on ∆F = 2 operators and the scale of new physics, JHEP 03 (2008) 049 [arXiv:0707.0636] [INSPIRE].
L. Silvestrini, Flavor Constraints on new physics, in the proceedings of the Les Rencontres de Physique de la Vallée d’Aoste. Results and Perspectives in Particle Physics, La Thuile, Aosta Valley, Italy, 25 February–3 March 2018 [https://agenda.infn.it/event/14377/contributions/24434/attachments/17481/19830/silvestriniLaThuile.pdf].
J. Fuentes-Martín, G. Isidori, J. Pagès and B.A. Stefanek, Flavor non-universal Pati-Salam unification and neutrino masses, Phys. Lett. B 820 (2021) 136484 [arXiv:2012.10492] [INSPIRE].
J. Fuentes-Martín et al., Flavor hierarchies, flavor anomalies, and Higgs mass from a warped extra dimension, Phys. Lett. B 834 (2022) 137382 [arXiv:2203.01952] [INSPIRE].
V. Bresó-Pla, A. Falkowski and M. González-Alonso, AFB in the SMEFT: precision Z physics at the LHC, JHEP 08 (2021) 021 [arXiv:2103.12074] [INSPIRE].
L. Allwicher et al., Third-family quark-lepton Unification and electroweak precision tests, JHEP 05 (2023) 179 [arXiv:2302.11584] [INSPIRE].
S. Antusch and O. Fischer, Non-unitarity of the leptonic mixing matrix: Present bounds and future sensitivities, JHEP 10 (2014) 094 [arXiv:1407.6607] [INSPIRE].
S. Antusch and O. Fischer, Testing sterile neutrino extensions of the Standard Model at future lepton colliders, JHEP 05 (2015) 053 [arXiv:1502.05915] [INSPIRE].
A.M. Coutinho, A. Crivellin and C.A. Manzari, Global Fit to Modified Neutrino Couplings and the Cabibbo-Angle Anomaly, Phys. Rev. Lett. 125 (2020) 071802 [arXiv:1912.08823] [INSPIRE].
A. Crivellin, F. Kirk, C.A. Manzari and M. Montull, Global Electroweak Fit and Vector-Like Leptons in Light of the Cabibbo Angle Anomaly, JHEP 12 (2020) 166 [arXiv:2008.01113] [INSPIRE].
B. Grzadkowski, M. Iskrzynski, M. Misiak and J. Rosiek, Dimension-Six Terms in the Standard Model Lagrangian, JHEP 10 (2010) 085 [arXiv:1008.4884] [INSPIRE].
H.H. Patel, Package-X: A Mathematica package for the analytic calculation of one-loop integrals, Comput. Phys. Commun. 197 (2015) 276 [arXiv:1503.01469] [INSPIRE].
J. Fuentes-Martín et al., A proof of concept for matchete: an automated tool for matching effective theories, Eur. Phys. J. C 83 (2023) 662 [arXiv:2212.04510] [INSPIRE].
A. Celis, J. Fuentes-Martín, A. Vicente and J. Virto, DsixTools: The Standard Model Effective Field Theory Toolkit, Eur. Phys. J. C 77 (2017) 405 [arXiv:1704.04504] [INSPIRE].
M. Misiak, A. Rehman and M. Steinhauser, Towards \( \overline{B}\to {X}_s\gamma \) at the NNLO in QCD without interpolation in mc, JHEP 06 (2020) 175 [arXiv:2002.01548] [INSPIRE].
M. Misiak, private communication (2023).
M. Misiak et al., Updated NNLO QCD predictions for the weak radiative B-meson decays, Phys. Rev. Lett. 114 (2015) 221801 [arXiv:1503.01789] [INSPIRE].
HFLAV collaboration, Averages of b-hadron, c-hadron, and τ-lepton properties as of 2018, Eur. Phys. J. C 81 (2021) 226 [arXiv:1909.12524] [INSPIRE].
ATLAS collaboration, Search for leptoquarks decaying into the bτ final state in pp collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, arXiv:2305.15962 [INSPIRE].
CMS collaboration, Search for leptoquarks produced in lepton-quark collisions and coupling to τ leptons, CMS-PAS-EXO-22-018, CERN, Geneva (2023).
L. Buonocore et al., Resonant leptoquark at NLO with POWHEG, JHEP 11 (2022) 129 [arXiv:2209.02599] [INSPIRE].
L. Allwicher et al., HighPT: A tool for high-pT Drell-Yan tails beyond the standard model, Comput. Phys. Commun. 289 (2023) 108749 [arXiv:2207.10756] [INSPIRE].
ATLAS collaboration, Search for heavy Higgs bosons decaying into two tau leptons with the ATLAS detector using pp collisions at \( \sqrt{s} \) = 13 TeV, Phys. Rev. Lett. 125 (2020) 051801 [arXiv:2002.12223] [INSPIRE].
ATLAS collaboration, Search for high-mass resonances in final states with a tau lepton and missing transverse momentum with the ATLAS detector, ATLAS-CONF-2021-025 (2021).
V. Gherardi, D. Marzocca and E. Venturini, Low-energy phenomenology of scalar leptoquarks at one-loop accuracy, JHEP 01 (2021) 138 [arXiv:2008.09548] [INSPIRE].
S. Iguro et al., D∗ polarization vs. \( {R}_{D^{\left(\ast \right)}} \) anomalies in the leptoquark models, JHEP 02 (2019) 194 [arXiv:1811.08899] [INSPIRE].
D. Bečirević and F. Jaffredo, Looking for the effects of New Physics in the Λb ⟶ Λc (→ Λπ)ℓν decay mode, arXiv:2209.13409 [INSPIRE].
G. D’Ambrosio, G.F. Giudice, G. Isidori and A. Strumia, Minimal flavor violation: An Effective field theory approach, Nucl. Phys. B 645 (2002) 155 [hep-ph/0207036] [INSPIRE].
R.K. Ellis et al., Physics Briefing Book: Input for the European Strategy for Particle Physics Update 2020, arXiv:1910.11775 [INSPIRE].
J. Davighi and B.A. Stefanek, Deconstructed Hypercharge: A Natural Model of Flavour, arXiv:2305.16280 [INSPIRE].
J. Fuentes-Martín, G. Isidori, M. König and N. Selimović, Vector Leptoquarks Beyond Tree Level III: Vector-like Fermions and Flavor-Changing Transitions, Phys. Rev. D 102 (2020) 115015 [arXiv:2009.11296] [INSPIRE].
G. Buchalla and A.J. Buras, The rare decays \( K\to \pi \nu \overline{\nu} \), \( B\to X\nu \overline{\nu} \) and B → l+l−: An Update, Nucl. Phys. B 548 (1999) 309 [hep-ph/9901288] [INSPIRE].
Ò.L. Crosas et al., Flavor non-universal vector leptoquark imprints in K → πνν− and ∆F = 2 transitions, Phys. Lett. B 835 (2022) 137525 [arXiv:2207.00018] [INSPIRE].
NA62 collaboration, Measurement of the very rare \( {K}^{+}\to {\pi}^{+}\nu \overline{\nu} \) decay, JHEP 06 (2021) 093 [arXiv:2103.15389] [INSPIRE].
NA62 collaboration, Measurement of the very rare \( {K}^{+}\to {\pi}^{+}\nu \overline{\nu} \) decay, PoS DISCRETE2020-2021 (2022) 070 [INSPIRE].
NA62/KLEVER et al. collaborations, Searches for new physics with high-intensity kaon beams, in the proceedings of the Snowmass 2021, (2022) [arXiv:2204.13394] [INSPIRE].
M. Pospelov and A. Ritz, Neutron EDM from electric and chromoelectric dipole moments of quarks, Phys. Rev. D 63 (2001) 073015 [hep-ph/0010037] [INSPIRE].
R. Gupta et al., Flavor diagonal tensor charges of the nucleon from (2 + 1 + 1)-flavor lattice QCD, Phys. Rev. D 98 (2018) 091501 [arXiv:1808.07597] [INSPIRE].
T. Chupp, P. Fierlinger, M. Ramsey-Musolf and J. Singh, Electric dipole moments of atoms, molecules, nuclei, and particles, Rev. Mod. Phys. 91 (2019) 015001 [arXiv:1710.02504] [INSPIRE].
J. Aebischer et al., Confronting the vector leptoquark hypothesis with new low- and high-energy data, Eur. Phys. J. C 83 (2023) 153 [arXiv:2210.13422] [INSPIRE].
R. Barbieri, D. Buttazzo, F. Sala and D.M. Straub, Flavour physics from an approximate U(2)3 symmetry, JHEP 07 (2012) 181 [arXiv:1203.4218] [INSPIRE].
C. Cornella, J. Fuentes-Martín and G. Isidori, Revisiting the vector leptoquark explanation of the B-physics anomalies, JHEP 07 (2019) 168 [arXiv:1903.11517] [INSPIRE].
A. Greljo, J. Salko, A. Smolkovič and P. Stangl, Rare b decays meet high-mass Drell-Yan, JHEP 05 (2023) 087 [arXiv:2212.10497] [INSPIRE].
E.E. Jenkins, A.V. Manohar and M. Trott, Renormalization Group Evolution of the Standard Model Dimension Six Operators II: Yukawa Dependence, JHEP 01 (2014) 035 [arXiv:1310.4838] [INSPIRE].
R. Alonso, E.E. Jenkins, A.V. Manohar and M. Trott, Renormalization Group Evolution of the Standard Model Dimension Six Operators III: Gauge Coupling Dependence and Phenomenology, JHEP 04 (2014) 159 [arXiv:1312.2014] [INSPIRE].
A.G. Akeroyd and C.-H. Chen, Constraint on the branching ratio of \( {B}_c\to \tau \overline{\nu} \) from LEP1 and consequences for R(D(*)) anomaly, Phys. Rev. D 96 (2017) 075011 [arXiv:1708.04072] [INSPIRE].
UTfit collaboration, New UTfit Analysis of the Unitarity Triangle in the Cabibbo-Kobayashi-Maskawa scheme, Rend. Lincei Sci. Fis. Nat. 34 (2023) 37 [arXiv:2212.03894] [INSPIRE].
D.M. Straub, flavio: a Python package for flavour and precision phenomenology in the Standard Model and beyond, arXiv:1810.08132 [INSPIRE].
Acknowledgments
We thank M. Misiak for useful discussions on bounds on the electromagnetic and chromomagnetic operators and also A. Crivellin and G. Isidori for the useful discussions on the model. J.M. gratefully acknowledges the financial support from ICREA under the ICREA Academia programme and from the Pauli Center (Zurich) and the Physics Department of University of Zurich. J.M. also received financial support from Spanish Ministry of Science, Innovation and Universities (project PID2020-112965GB-I00) and from the Research Grant Agency of the Government of Catalonia (project SGR 1069). The work of J.M.L. and B.A.S. has been suported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme under grant agreement 833280 (FLAY), and by the Swiss National Science Foundation (SNF) under contract 200020-204428.
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Lizana, J.M., Matias, J. & Stefanek, B.A. Explaining the \( {B}_{d,s}\to {K}^{\left(\ast \right)}{\overline{K}}^{\left(\ast \right)} \) non-leptonic puzzle and charged-current B-anomalies via scalar leptoquarks. J. High Energ. Phys. 2023, 114 (2023). https://doi.org/10.1007/JHEP09(2023)114
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DOI: https://doi.org/10.1007/JHEP09(2023)114