Abstract
The \( {R_K}_{{}^{\left(\ast \right)}} \) anomaly can be explained by tree level exchange of leptoquarks. We study the consequences of subjecting these models to the principle of minimal flavor violation (MFV). We consider MFV in the linear regime, and take the charged lepton Yukawa matrix to be the only spurion that violates lepton flavor universality. We find that a combination of constraints from a variety of processes — b → sμμ, b → sττ , b → sνν, \( b\overline{b}\to \tau \tau \) and b → cτν — excludes MFV in these models.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
LHCb collaboration, Test of lepton universality using B + → K +ℓ+ℓ− decays, Phys. Rev. Lett. 113 (2014) 151601 [arXiv:1406.6482] [INSPIRE].
LHCb collaboration, Test of lepton universality with B 0 → K ∗0ℓ+ℓ− decays, JHEP 08 (2017) 055 [arXiv:1705.05802] [INSPIRE].
G. Hiller and M. Schmaltz, R K and future b → sℓℓ physics beyond the Standard Model opportunities, Phys. Rev. D 90 (2014) 054014 [arXiv:1408.1627] [INSPIRE].
G. Hiller and I. Nisandzic, R K and \( {R_K}_{{}^{*}} \) beyond the Standard Model, Phys. Rev. D 96 (2017) 035003 [arXiv:1704.05444] [INSPIRE].
R. Alonso, B. Grinstein and J. Martin Camalich, Lepton universality violation and lepton flavor conservation in B-meson decays, JHEP 10 (2015) 184 [arXiv:1505.05164] [INSPIRE].
D. Bečirević, N. Košnik, O. Sumensari and R. Zukanovich Funchal, Palatable leptoquark scenarios for lepton flavor violation in exclusive b → sℓ1ℓ2 modes, JHEP 11 (2016) 035 [arXiv:1608.07583] [INSPIRE].
A. Crivellin, D. Müller and T. Ota, Simultaneous explanation of R(D (∗)) and b → sμ + μ − : the last scalar leptoquarks standing, JHEP 09 (2017) 040 [arXiv:1703.09226] [INSPIRE].
A.K. Alok, B. Bhattacharya, A. Datta, D. Kumar, J. Kumar and D. London, New physics in b → sμ + μ − after the measurement of R K∗, arXiv:1704.07397 [INSPIRE].
S. Fajfer and N. Košnik, Vector leptoquark resolution of RK and \( {R_D}_{{}^{\left(\ast \right)}} \) puzzles, Phys. Lett. B 755 (2016) 270 [arXiv:1511.06024] [INSPIRE].
Y. Nir, Flavor physics: past, present, future, Phys. Scripta T 158 (2013) 014005 [INSPIRE].
L. Calibbi, A. Crivellin and T. Ota, Effective field theory approach to b → sℓℓ(′ ) , \( B\to {K}^{\left(\ast \right)}\nu \overline{\nu} \) and B → D (∗) τν with third generation couplings, Phys. Rev. Lett. 115 (2015) 181801 [arXiv:1506.02661] [INSPIRE].
D. Buttazzo, A. Greljo, G. Isidori and D. Marzocca, B-physics anomalies: a guide to combined explanations, arXiv:1706.07808 [INSPIRE].
J.M. Cline and J. Martin Camalich, B decay anomalies from non-Abelian local horizontal symmetry, Phys. Rev. D 96 (2017) 055036 [arXiv:1706.08510] [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].
S. Davidson and S. Descotes-Genon, Minimal flavour violation for leptoquarks, JHEP 11 (2010) 073 [arXiv:1009.1998] [INSPIRE].
A. Crivellin, D. Müller, A. Signer and Y. Ulrich, Correlating lepton flavour (universality) violation in B decays with μ → eγ using leptoquarks, arXiv:1706.08511 [INSPIRE].
A.L. Kagan, G. Perez, T. Volansky and J. Zupan, General minimal flavor violation, Phys. Rev. D 80 (2009) 076002 [arXiv:0903.1794] [INSPIRE].
BaBar collaboration, J.P. Lees et al., Search for B + → K + τ + τ − at the BaBar experiment, Phys. Rev. Lett. 118 (2017) 031802 [arXiv:1605.09637] [INSPIRE].
Particle Data Group collaboration, C. Patrignani et al., Review of particle physics, Chin. Phys. C 40 (2016) 100001 [INSPIRE].
BaBar collaboration, J.P. Lees et al., Search for \( B\to {K}^{\left(\ast \right)}\nu \overline{\nu} \) and invisible quarkonium decays, Phys. Rev. D 87 (2013) 112005 [arXiv:1303.7465] [INSPIRE].
Belle collaboration, O. Lutz et al., Search for \( B\to {h}^{\left(\ast \right)}\nu \overline{\nu} \) with the full Belle Y(4S) data sample, Phys. Rev. D 87 (2013) 111103 [arXiv:1303.3719] [INSPIRE].
A.J. Buras, J. Girrbach-Noe, C. Niehoff and D.M. Straub, \( B\to {K}^{\left(\ast \right)}\nu \overline{\nu} \) decays in the Standard Model and beyond, JHEP 02 (2015) 184 [arXiv:1409.4557] [INSPIRE].
L.-S. Geng, B. Grinstein, S. Jäger, J. Martin Camalich, X.-L. Ren and R.-X. Shi, Towards the discovery of new physics with lepton-universality ratios of b → sℓℓ decays, arXiv:1704.05446 [INSPIRE].
D.A. Faroughy, A. Greljo and J.F. Kamenik, Confronting lepton flavor universality violation in B decays with high-p T tau lepton searches at LHC, Phys. Lett. B 764 (2017) 126 [arXiv:1609.07138] [INSPIRE].
ATLAS collaboration, A search for high-mass resonances decaying to τ + τ − in pp collisions at \( \sqrt{s}=8 \) TeV with the ATLAS detector, JHEP 07 (2015) 157 [arXiv:1502.07177] [INSPIRE].
ATLAS collaboration, Search for minimal supersymmetric Standard Model Higgs bosons H/A and for a Z ′ boson in the ττ final state produced in pp collisions at \( \sqrt{s}=13 \) TeV with the ATLAS detector, Eur. Phys. J. C 76 (2016) 585 [arXiv:1608.00890] [INSPIRE].
BaBar collaboration, J.P. Lees et al., Evidence for an excess of \( \overline{B}\to {D}^{\left(\ast \right)}{\tau}^{-}{\overline{\nu}}_{\tau } \) decays, Phys. Rev. Lett. 109 (2012) 101802 [arXiv:1205.5442] [INSPIRE].
BaBar collaboration, J.P. Lees et al., Measurement of an excess of \( \overline{B}\to {D}^{\left(\ast \right)}{\tau}^{-}{\overline{\nu}}_{\tau } \) decays and implications for charged Higgs bosons, Phys. Rev. D 88 (2013) 072012 [arXiv:1303.0571] [INSPIRE].
Belle collaboration, M. Huschle et al., Measurement of the branching ratio of \( \overline{B}\to {D}^{\left(\ast \right)}{\tau}^{-}{\overline{\nu}}_{\tau } \) relative to \( \overline{B}\to {D}^{\left(\ast \right)}{\ell}^{-}{\overline{\nu}}_{\ell } \) decays with hadronic tagging at Belle, Phys. Rev. D 92 (2015) 072014 [arXiv:1507.03233] [INSPIRE].
Belle collaboration, Y. Sato et al., Measurement of the branching ratio of \( {\overline{\mathrm{B}}}^0\to {D^{\ast}}^{+}{\tau}^{-}{\overline{\nu}}_{\tau } \) relative to \( {\overline{B}}^0\to {D}^{\ast +}{\ell}^{-}{\overline{\nu}}_{\ell } \) decays with a semileptonic tagging method, Phys. Rev. D 94 (2016) 072007 [arXiv:1607.07923] [INSPIRE].
A. Abdesselam et al., Measurement of the τ lepton polarization in the decay \( \overline{B}\to {D}^{\ast }{\tau}^{-}{\overline{\nu}}_{\tau } \), arXiv:1608.06391 [INSPIRE].
Belle collaboration, S. Hirose et al., Measurement of the τ lepton polarization and R(D ∗) in the decay \( \overline{B}\to {D}^{\ast }{\tau}^{-}{\overline{\nu}}_{\tau } \), Phys. Rev. Lett. 118 (2017) 211801 [arXiv:1612.00529] [INSPIRE].
LHCb collaboration, Measurement of the ratio of branching fractions \( \mathrm{\mathcal{B}}\left({\overline{B}}^0\to {D}^{\ast +}{\tau}^{-}{\overline{\nu}}_{\tau}\right)/\mathrm{\mathcal{B}}\left({\overline{B}}^0\to {\mathrm{D}}^{\ast +}{\mu}^{-}{\overline{\nu}}_{\mu}\right) \), Phys. Rev. Lett. 115 (2015) 111803 [Addendum ibid. 115 (2015) 159901] [arXiv:1506.08614] [INSPIRE].
Y. Amhis et al., Averages of b-hadron, c-hadron and τ -lepton properties as of summer 2016, arXiv:1612.07233 [INSPIRE].
S. Aoki et al., Review of lattice results concerning low-energy particle physics, Eur. Phys. J. C 77 (2017) 112 [arXiv:1607.00299] [INSPIRE].
S. Fajfer, J.F. Kamenik and I. Nisandzic, On the \( B\to {\mathrm{D}}^{\ast}\tau {\overline{\nu}}_{\tau } \) sensitivity to new physics, Phys. Rev. D 85 (2012) 094025 [arXiv:1203.2654] [INSPIRE].
D. Bigi, P. Gambino and S. Schacht, R(D ∗), |V cb| and the heavy quark symmetry relations between form factors, arXiv:1707.09509 [INSPIRE].
S. Jaiswal, S. Nandi and S.K. Patra, Extraction of |V cb| from B → D (∗)ℓνℓ and the Standard Model predictions of R(D (∗)), arXiv:1707.09977 [INSPIRE].
I. Doršner, S. Fajfer, D.A. Faroughy and N. Košnik, Saga of the two GUT leptoquarks in flavor universality and collider searches, arXiv:1706.07779 [INSPIRE].
M. Bauer and M. Neubert, Minimal leptoquark explanation for the \( {R_D}_{{}^{\left(\ast \right)}} \) , R K and (g − 2)g anomalies, Phys. Rev. Lett. 116 (2016) 141802 [arXiv:1511.01900] [INSPIRE].
D. Bečirević and O. Sumensari, A leptoquark model to accommodate R exp K < R SM K and \( {R}_{K^{\ast}}^{\exp }<{R}_{K^{\ast}}^{\mathrm{SM}} \), JHEP 08 (2017) 104 [arXiv:1704.05835] [INSPIRE].
Y. Cai, J. Gargalionis, M.A. Schmidt and R.R. Volkas, Reconsidering the one leptoquark solution: flavor anomalies and neutrino mass, JHEP 10 (2017) 047 [arXiv:1704.05849] [INSPIRE].
C.-W. Chiang, X.-G. He, J. Tandean and X.-B. Yuan, R K(∗) and related \( b\to s\ell \overline{\ell} \) anomalies in minimal flavor violation framework with Z ′ boson, arXiv:1706.02696 [INSPIRE].
A. Dery, A. Efrati, G. Hiller, Y. Hochberg and Y. Nir, Higgs couplings to fermions: 2HDM with MFV, JHEP 08 (2013) 006 [arXiv:1304.6727] [INSPIRE].
J. Charles et al., Current status of the Standard Model CKM fit and constraints on ΔF = 2 new physics, Phys. Rev. D 91 (2015) 073007 [arXiv:1501.05013] [INSPIRE].
S. Davidson, D.C. Bailey and B.A. Campbell, Model independent constraints on leptoquarks from rare processes, Z. Phys. C 61 (1994) 613 [hep-ph/9309310] [INSPIRE].
L. Di Luzio and M. Nardecchia, What is the scale of new physics behind the B-flavour anomalies?, Eur. Phys. J. C 77 (2017) 536 [arXiv:1706.01868] [INSPIRE].
G. D’Amico et al., Flavour anomalies after the R K∗ measurement, JHEP 09 (2017) 010 [arXiv:1704.05438] [INSPIRE].
CMS collaboration, Search for third-generation scalar leptoquarks and heavy right-handed neutrinos in final states with two tau leptons and two jets in proton-proton collisions at \( \sqrt{s}=13 \) TeV, JHEP 07 (2017) 121 [arXiv:1703.03995] [INSPIRE].
B. Diaz, M. Schmaltz and Y.-M. Zhong, The leptoquark hunter’s guide: pair production, JHEP 10 (2017) 097 [arXiv:1706.05033] [INSPIRE].
CMS collaboration, Search for new physics in the all-hadronic final state with the M T2 variable, CMS-PAS-SUS-16-036, CERN, Geneva Switzerland, (2016).
ATLAS collaboration, A search for B-L R-parity-violating scalar tops in \( \sqrt{s}=13 \) TeV pp collisions with the ATLAS experiment, ATLAS-CONF-2017-036, CERN, Geneva Switzerland, (2017).
ATLAS collaboration, Searches for scalar leptoquarks in pp collisions at \( \sqrt{s}=8 \) TeV with the ATLAS detector, Eur. Phys. J. C 76 (2016) 5 [arXiv:1508.04735] [INSPIRE].
A. Greljo and D. Marzocca, High-p T dilepton tails and flavor physics, Eur. Phys. J. C 77 (2017) 548 [arXiv:1704.09015] [INSPIRE].
A. Pich, Precision tau physics, Prog. Part. Nucl. Phys. 75 (2014) 41 [arXiv:1310.7922] [INSPIRE].
M. Freytsis, Z. Ligeti and J.T. Ruderman, Flavor models for \( \overline{B}\to {D}^{\left(\ast \right)}\tau \overline{\nu} \), Phys. Rev. D 92 (2015) 054018 [arXiv:1506.08896] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1708.06161
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Aloni, D., Dery, A., Frugiuele, C. et al. Testing minimal flavor violation in leptoquark models of the \( {R_K}_{{}^{\left(\ast \right)}} \) anomaly. J. High Energ. Phys. 2017, 109 (2017). https://doi.org/10.1007/JHEP11(2017)109
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP11(2017)109