Abstract
We explore the possibility that the semi-leptonic B decay ratios \( {R}_{K^{\left(*\right)}} \) which violate μ − e universality are related to the origin of the fermion Yukawa couplings in the Standard Model. Some time ago, a vector-like fourth family (without a Z′) was used to generate fermion mass hierarchies and mixing patterns without introducing any family symmetry. Recently the idea of inducing flavourful Z′ couplings via mixing with a vector-like fourth family which carries gauged U(1)′ charges has been proposed as a simple way of producing controlled flavour universality violation while elegantly cancelling anomalies. We show that the fusion of these two ideas provides a nice connection between \( {R}_{K^{\left(*\right)}} \) and the origin of Yukawa couplings in the quark sector. However the lepton sector requires some tuning of Yukawa couplings to obtain the desired coupling of Z′ to muons.
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References
P. Langacker, The physics of heavy Z′ gauge bosons, Rev. Mod. Phys. 81 (2009) 1199 [arXiv:0801.1345] [INSPIRE].
S. Descotes-Genon, J. Matias and J. Virto, Understanding the B → K * μ + μ − anomaly, Phys. Rev. D 88 (2013) 074002 [arXiv:1307.5683] [INSPIRE].
W. Altmannshofer and D.M. Straub, New physics in B → K * μμ?, Eur. Phys. J. C 73 (2013) 2646 [arXiv:1308.1501] [INSPIRE].
D. Ghosh, M. Nardecchia and S.A. Renner, Hint of lepton flavour non-universality in B meson decays, JHEP 12 (2014) 131 [arXiv:1408.4097] [INSPIRE].
LHCb collaboration, Test of lepton universality using B + → K + ℓ + ℓ − decays, Phys. Rev. Lett. 113 (2014) 151601 [arXiv:1406.6482] [INSPIRE].
LHCb collaboration, S. Bifani, Search for new physics with b → sℓ + ℓ − decays at LHCb, CERN Seminar, https://cds.cern.ch/record/2260258, CERN, Geneva, Switzerland, 18 April 2017.
G. Hiller and I. Nisandzic, R K and \( {R}_{K^{*}} \) beyond the Standard Model, Phys. Rev. D 96 (2017) 035003 [arXiv:1704.05444] [INSPIRE].
M. Ciuchini et al., On flavourful easter eggs for new physics hunger and lepton flavour universality violation, Eur. Phys. J. C 77 (2017) 688 [arXiv:1704.05447] [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, Phys. Rev. D 96 (2017) 093006 [arXiv:1704.05446] [INSPIRE].
B. Capdevila, A. Crivellin, S. Descotes-Genon, J. Matias and J. Virto, Patterns of new physics in b → sℓ + ℓ − transitions in the light of recent data, JHEP 01 (2018) 093 [arXiv:1704.05340] [INSPIRE].
D. Ghosh, Explaining the R K and \( {R}_{K^{*}} \) anomalies, Eur. Phys. J. C 77 (2017) 694 [arXiv:1704.06240] [INSPIRE].
D. Bardhan, P. Byakti and D. Ghosh, Role of tensor operators in R K and \( {R}_{K^{*}} \), Phys. Lett. B 773 (2017) 505 [arXiv:1705.09305] [INSPIRE].
S.L. Glashow, D. Guadagnoli and K. Lane, Lepton flavor violation in B decays?, Phys. Rev. Lett. 114 (2015) 091801 [arXiv:1411.0565] [INSPIRE].
G. D’Amico et al., Flavour anomalies after the \( {R}_{K^{*}} \) measurement, JHEP 09 (2017) 010 [arXiv:1704.05438] [INSPIRE].
S. Descotes-Genon, L. Hofer, J. Matias and J. Virto, Global analysis of b → sℓℓ anomalies, JHEP 06 (2016) 092 [arXiv:1510.04239] [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].
R. Gauld, F. Goertz and U. Haisch, An explicit Z′-boson explanation of the B → K * μ + μ − anomaly, JHEP 01 (2014) 069 [arXiv:1310.1082] [INSPIRE].
A.J. Buras and J. Girrbach, Left-handed Z′ and Z FCNC quark couplings facing new b → sμ + μ − data, JHEP 12 (2013) 009 [arXiv:1309.2466] [INSPIRE].
A.J. Buras, F. De Fazio and J. Girrbach, 331 models facing new b → sμ + μ − data, JHEP 02 (2014) 112 [arXiv:1311.6729] [INSPIRE].
W. Altmannshofer, S. Gori, M. Pospelov and I. Yavin, Quark flavor transitions in L μ -L τ models, Phys. Rev. D 89 (2014) 095033 [arXiv:1403.1269] [INSPIRE].
A. Crivellin, G. D’Ambrosio and J. Heeck, Explaining h → μ ± τ ∓ , B → K * μ + μ − and B → Kμ + μ − /B → Ke + e − in a two-Higgs-doublet model with gauged L μ -L τ, Phys. Rev. Lett. 114 (2015) 151801 [arXiv:1501.00993] [INSPIRE].
A. Crivellin, G. D’Ambrosio and J. Heeck, Addressing the LHC flavor anomalies with horizontal gauge symmetries, Phys. Rev. D 91 (2015) 075006 [arXiv:1503.03477] [INSPIRE].
C. Niehoff, P. Stangl and D.M. Straub, Violation of lepton flavour universality in composite Higgs models, Phys. Lett. B 747 (2015) 182 [arXiv:1503.03865] [INSPIRE].
A. Celis, J. Fuentes-Martin, M. Jung and H. Serodio, Family nonuniversal Z′ models with protected flavor-changing interactions, Phys. Rev. D 92 (2015) 015007 [arXiv:1505.03079] [INSPIRE].
A. Greljo, G. Isidori and D. Marzocca, On the breaking of lepton flavor universality in B decays, JHEP 07 (2015) 142 [arXiv:1506.01705] [INSPIRE].
W. Altmannshofer and I. Yavin, Predictions for lepton flavor universality violation in rare B decays in models with gauged L μ -L τ, Phys. Rev. D 92 (2015) 075022 [arXiv:1508.07009] [INSPIRE].
A. Falkowski, M. Nardecchia and R. Ziegler, Lepton flavor non-universality in B-meson decays from a U(2) flavor model, JHEP 11 (2015) 173 [arXiv:1509.01249] [INSPIRE].
B. Allanach, F.S. Queiroz, A. Strumia and S. Sun, Z′ models for the LHCb and g − 2 muon anomalies, Phys. Rev. D 93 (2016) 055045 [Erratum ibid. D 95 (2017) 119902] [arXiv:1511.07447] [INSPIRE].
C.-W. Chiang, X.-G. He and G. Valencia, Z′ model for \( b\to s\ell \overline{\ell} \) flavor anomalies, Phys. Rev. D 93 (2016) 074003 [arXiv:1601.07328] [INSPIRE].
S.M. Boucenna, A. Celis, J. Fuentes-Martin, A. Vicente and J. Virto, Non-Abelian gauge extensions for B-decay anomalies, Phys. Lett. B 760 (2016) 214 [arXiv:1604.03088] [INSPIRE].
S.M. Boucenna, A. Celis, J. Fuentes-Martin, A. Vicente and J. Virto, Phenomenology of an SU(2) × SU(2) × U(1) model with lepton-flavour non-universality, JHEP 12 (2016) 059 [arXiv:1608.01349] [INSPIRE].
P. Ko, Y. Omura, Y. Shigekami and C. Yu, LHCb anomaly and B physics in flavored Z′ models with flavored Higgs doublets, Phys. Rev. D 95 (2017) 115040 [arXiv:1702.08666] [INSPIRE].
K. Ishiwata, Z. Ligeti and M.B. Wise, New vector-like fermions and flavor physics, JHEP 10 (2015) 027 [arXiv:1506.03484] [INSPIRE].
D. Aristizabal Sierra, F. Staub and A. Vicente, Shedding light on the b → s anomalies with a dark sector, Phys. Rev. D 92 (2015) 015001 [arXiv:1503.06077] [INSPIRE].
G. Bélanger, C. Delaunay and S. Westhoff, A dark matter relic from muon anomalies, Phys. Rev. D 92 (2015) 055021 [arXiv:1507.06660] [INSPIRE].
C. Bobeth, A.J. Buras, A. Celis and M. Jung, Patterns of flavour violation in models with vector-like quarks, JHEP 04 (2017) 079 [arXiv:1609.04783] [INSPIRE].
C.-W. Chiang, X.-G. He, J. Tandean and X.-B. Yuan, \( {R}_{K^{\left(*\right)}} \) and related \( b\to s\ell \overline{\ell} \) anomalies in minimal flavor violation framework with Z′ boson, Phys. Rev. D 96 (2017) 115022 [arXiv:1706.02696] [INSPIRE].
Y. Tang and Y.-L. Wu, Flavor non-universal gauge interactions and anomalies in B-meson decays, Chin. Phys. C 42 (2018) 033104 [arXiv:1705.05643] [INSPIRE].
F. Bishara, U. Haisch and P.F. Monni, Regarding light resonance interpretations of the B decay anomalies, Phys. Rev. D 96 (2017) 055002 [arXiv:1705.03465] [INSPIRE].
J. Ellis, M. Fairbairn and P. Tunney, Anomaly-free models for flavour anomalies, Eur. Phys. J. C 78 (2018) 238 [arXiv:1705.03447] [INSPIRE].
J.F. Kamenik, Y. Soreq and J. Zupan, Lepton flavor universality violation without new sources of quark flavor violation, Phys. Rev. D 97 (2018) 035002 [arXiv:1704.06005] [INSPIRE].
F. Sala and D.M. Straub, A new light particle in B decays?, Phys. Lett. B 774 (2017) 205 [arXiv:1704.06188] [INSPIRE].
S. Di Chiara et al., Minimal flavor-changing Z′ models and muon g − 2 after the \( {R}_{K^{*}} \) measurement, Nucl. Phys. B 923 (2017) 245 [arXiv:1704.06200] [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 \( {R}_{K^{*}} \), Phys. Rev. D 96 (2017) 095009 [arXiv:1704.07397] [INSPIRE].
R. Alonso, P. Cox, C. Han and T.T. Yanagida, Anomaly-free local horizontal symmetry and anomaly-full rare B-decays, Phys. Rev. D 96 (2017) 071701 [arXiv:1704.08158] [INSPIRE].
C. Bonilla, T. Modak, R. Srivastava and J.W.F. Valle, \( \mathrm{U}{(1)}_{B_3-3{L}_{\mu }} \) gauge symmetry as the simplest description of b → s anomalies, arXiv:1705.00915 [INSPIRE].
S.F. King, Flavourful Z′ models for \( {R}_{K^{\left(*\right)}} \), JHEP 08 (2017) 019 [arXiv:1706.06100] [INSPIRE].
D. Aloni, A. Dery, C. Frugiuele and Y. Nir, Testing minimal flavor violation in leptoquark models of the \( {R}_{K^{\left(*\right)}} \) anomaly, JHEP 11 (2017) 109 [arXiv:1708.06161] [INSPIRE].
S.-Y. Guo, Z.-L. Han, B. Li, Y. Liao and X.-D. Ma, Interpreting the \( {R}_{K^{\left(*\right)}} \) anomaly in the colored Zee-Babu model, Nucl. Phys. B 928 (2018) 435 [arXiv:1707.00522] [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].
H. Päs and E. Schumacher, Common origin of R K and neutrino masses, Phys. Rev. D 92 (2015) 114025 [arXiv:1510.08757] [INSPIRE].
I. de Medeiros Varzielas and G. Hiller, Clues for flavor from rare lepton and quark decays, JHEP 06 (2015) 072 [arXiv:1503.01084] [INSPIRE].
S.F. King, Flavourful Z′ models for \( {R}_{K^{\left(*\right)}} \), JHEP 08 (2017) 019 [arXiv:1706.06100] [INSPIRE].
S. Raby and A. Trautner, Vectorlike chiral fourth family to explain muon anomalies, Phys. Rev. D 97 (2018) 095006 [arXiv:1712.09360] [INSPIRE].
M. Crispim Romao, S.F. King and G.K. Leontaris, Non-universal Z ′ from fluxed GUTs, Phys. Lett. B 782 (2018) 353 [arXiv:1710.02349] [INSPIRE].
S. Antusch, C. Hohl, S.F. King and V. Susic, Non-universal Z′ from SO(10) GUTs with vector-like family and the origin of neutrino masses, Nucl. Phys. B 934 (2018) 578 [arXiv:1712.05366] [INSPIRE].
A.E. Cárcamo Hernández and S.F. King, Muon anomalies and the SU(5) Yukawa relations, arXiv:1803.07367 [INSPIRE].
A. Falkowski, S.F. King, E. Perdomo and M. Pierre, Flavourful Z′ portal for vector-like neutrino dark matter and \( {R}_{K^{\left(*\right)}} \), JHEP 08 (2018) 061 [arXiv:1803.04430] [INSPIRE].
L. Ferretti, S.F. King and A. Romanino, Flavour from accidental symmetries, JHEP 11 (2006) 078 [hep-ph/0609047] [INSPIRE].
L. Calibbi, L. Ferretti, A. Romanino and R. Ziegler, Consequences of a unified, anarchical model of fermion masses and mixings, JHEP 03 (2009) 031 [arXiv:0812.0087] [INSPIRE].
L. Di Luzio, M. Kirk and A. Lenz, Updated B s -mixing constraints on new physics models for b → sℓ + ℓ − anomalies, Phys. Rev. D 97 (2018) 095035 [arXiv:1712.06572] [INSPIRE].
M. Artuso, G. Borissov and A. Lenz, CP violation in the B 0 s system, Rev. Mod. Phys. 88 (2016) 045002 [arXiv:1511.09466] [INSPIRE].
Y. Nir, Flavour physics and CP-violation, in Proceedings, 7th CERN — Latin-American School of High-Energy Physics (CLASHEP2013), Arequipa, Peru, 6–19 March 2013, CERN-2015-001, CERN, Geneva, Switzerland, (2015), pg. 123 [arXiv:1605.00433] [INSPIRE].
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King, S.F. \( {R}_{K^{\left(*\right)}} \) and the origin of Yukawa couplings. J. High Energ. Phys. 2018, 69 (2018). https://doi.org/10.1007/JHEP09(2018)069
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DOI: https://doi.org/10.1007/JHEP09(2018)069