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Journal of High Energy Physics

, 2018:69 | Cite as

\( {R}_{K^{\left(*\right)}} \) and the origin of Yukawa couplings

  • Stephen F. King
Open Access
Regular Article - Theoretical Physics
  • 8 Downloads

Abstract

We explore the possibility that the semi-leptonic B decay ratios \( {R}_{K^{\left(*\right)}} \) which violate μe 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.

Keywords

Beyond Standard Model Heavy Quark Physics Neutrino Physics Quark Masses and SM Parameters 

Notes

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.

References

  1. [1]
    P. Langacker, The physics of heavy Zgauge bosons, Rev. Mod. Phys. 81 (2009) 1199 [arXiv:0801.1345] [INSPIRE].ADSCrossRefGoogle Scholar
  2. [2]
    S. Descotes-Genon, J. Matias and J. Virto, Understanding the BK * μ + μ anomaly, Phys. Rev. D 88 (2013) 074002 [arXiv:1307.5683] [INSPIRE].ADSGoogle Scholar
  3. [3]
    W. Altmannshofer and D.M. Straub, New physics in BK * μμ?, Eur. Phys. J. C 73 (2013) 2646 [arXiv:1308.1501] [INSPIRE].ADSCrossRefGoogle Scholar
  4. [4]
    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].ADSCrossRefGoogle Scholar
  5. [5]
    LHCb collaboration, Test of lepton universality using B +K + + decays, Phys. Rev. Lett. 113 (2014) 151601 [arXiv:1406.6482] [INSPIRE].
  6. [6]
    LHCb collaboration, S. Bifani, Search for new physics with bsℓ + decays at LHCb, CERN Seminar, https://cds.cern.ch/record/2260258, CERN, Geneva, Switzerland, 18 April 2017.
  7. [7]
    G. Hiller and I. Nisandzic, R K and \( {R}_{K^{*}} \) beyond the Standard Model, Phys. Rev. D 96 (2017) 035003 [arXiv:1704.05444] [INSPIRE].ADSGoogle Scholar
  8. [8]
    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].CrossRefGoogle Scholar
  9. [9]
    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 bsℓℓ decays, Phys. Rev. D 96 (2017) 093006 [arXiv:1704.05446] [INSPIRE].ADSGoogle Scholar
  10. [10]
    B. Capdevila, A. Crivellin, S. Descotes-Genon, J. Matias and J. Virto, Patterns of new physics in bsℓ + transitions in the light of recent data, JHEP 01 (2018) 093 [arXiv:1704.05340] [INSPIRE].ADSCrossRefGoogle Scholar
  11. [11]
    D. Ghosh, Explaining the R K and \( {R}_{K^{*}} \) anomalies, Eur. Phys. J. C 77 (2017) 694 [arXiv:1704.06240] [INSPIRE].ADSCrossRefGoogle Scholar
  12. [12]
    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].ADSCrossRefGoogle Scholar
  13. [13]
    S.L. Glashow, D. Guadagnoli and K. Lane, Lepton flavor violation in B decays?, Phys. Rev. Lett. 114 (2015) 091801 [arXiv:1411.0565] [INSPIRE].ADSCrossRefGoogle Scholar
  14. [14]
    G. D’Amico et al., Flavour anomalies after the \( {R}_{K^{*}} \) measurement, JHEP 09 (2017) 010 [arXiv:1704.05438] [INSPIRE].ADSCrossRefGoogle Scholar
  15. [15]
    S. Descotes-Genon, L. Hofer, J. Matias and J. Virto, Global analysis of bsℓℓ anomalies, JHEP 06 (2016) 092 [arXiv:1510.04239] [INSPIRE].ADSCrossRefGoogle Scholar
  16. [16]
    L. Calibbi, A. Crivellin and T. Ota, Effective field theory approach to bsℓℓ (′) , \( B\to {K}^{\left(\ast \right)}\nu \overline{\nu} \) and BD (*) τν with third generation couplings, Phys. Rev. Lett. 115 (2015) 181801 [arXiv:1506.02661] [INSPIRE].ADSCrossRefGoogle Scholar
  17. [17]
    R. Gauld, F. Goertz and U. Haisch, An explicit Z-boson explanation of the BK * μ + μ anomaly, JHEP 01 (2014) 069 [arXiv:1310.1082] [INSPIRE].ADSCrossRefGoogle Scholar
  18. [18]
    A.J. Buras and J. Girrbach, Left-handed Zand Z FCNC quark couplings facing new b + μ data, JHEP 12 (2013) 009 [arXiv:1309.2466] [INSPIRE].ADSCrossRefGoogle Scholar
  19. [19]
    A.J. Buras, F. De Fazio and J. Girrbach, 331 models facing new b + μ data, JHEP 02 (2014) 112 [arXiv:1311.6729] [INSPIRE].ADSCrossRefGoogle Scholar
  20. [20]
    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].ADSGoogle Scholar
  21. [21]
    A. Crivellin, G. D’Ambrosio and J. Heeck, Explaining hμ ± τ , BK * μ + μ and B + μ /BKe + e in a two-Higgs-doublet model with gauged L μ -L τ, Phys. Rev. Lett. 114 (2015) 151801 [arXiv:1501.00993] [INSPIRE].ADSCrossRefGoogle Scholar
  22. [22]
    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].ADSGoogle Scholar
  23. [23]
    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].ADSCrossRefGoogle Scholar
  24. [24]
    A. Celis, J. Fuentes-Martin, M. Jung and H. Serodio, Family nonuniversal Zmodels with protected flavor-changing interactions, Phys. Rev. D 92 (2015) 015007 [arXiv:1505.03079] [INSPIRE].ADSGoogle Scholar
  25. [25]
    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].ADSCrossRefGoogle Scholar
  26. [26]
    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].ADSGoogle Scholar
  27. [27]
    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].ADSCrossRefGoogle Scholar
  28. [28]
    B. Allanach, F.S. Queiroz, A. Strumia and S. Sun, Zmodels for the LHCb and g − 2 muon anomalies, Phys. Rev. D 93 (2016) 055045 [Erratum ibid. D 95 (2017) 119902] [arXiv:1511.07447] [INSPIRE].
  29. [29]
    C.-W. Chiang, X.-G. He and G. Valencia, Zmodel for \( b\to s\ell \overline{\ell} \) flavor anomalies, Phys. Rev. D 93 (2016) 074003 [arXiv:1601.07328] [INSPIRE].ADSGoogle Scholar
  30. [30]
    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].ADSCrossRefGoogle Scholar
  31. [31]
    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].ADSCrossRefGoogle Scholar
  32. [32]
    P. Ko, Y. Omura, Y. Shigekami and C. Yu, LHCb anomaly and B physics in flavored Zmodels with flavored Higgs doublets, Phys. Rev. D 95 (2017) 115040 [arXiv:1702.08666] [INSPIRE].ADSGoogle Scholar
  33. [33]
    K. Ishiwata, Z. Ligeti and M.B. Wise, New vector-like fermions and flavor physics, JHEP 10 (2015) 027 [arXiv:1506.03484] [INSPIRE].ADSCrossRefGoogle Scholar
  34. [34]
    D. Aristizabal Sierra, F. Staub and A. Vicente, Shedding light on the bs anomalies with a dark sector, Phys. Rev. D 92 (2015) 015001 [arXiv:1503.06077] [INSPIRE].ADSGoogle Scholar
  35. [35]
    G. Bélanger, C. Delaunay and S. Westhoff, A dark matter relic from muon anomalies, Phys. Rev. D 92 (2015) 055021 [arXiv:1507.06660] [INSPIRE].ADSGoogle Scholar
  36. [36]
    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].ADSCrossRefGoogle Scholar
  37. [37]
    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 Zboson, Phys. Rev. D 96 (2017) 115022 [arXiv:1706.02696] [INSPIRE].ADSGoogle Scholar
  38. [38]
    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].ADSCrossRefGoogle Scholar
  39. [39]
    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].ADSGoogle Scholar
  40. [40]
    J. Ellis, M. Fairbairn and P. Tunney, Anomaly-free models for flavour anomalies, Eur. Phys. J. C 78 (2018) 238 [arXiv:1705.03447] [INSPIRE].ADSCrossRefGoogle Scholar
  41. [41]
    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].ADSGoogle Scholar
  42. [42]
    F. Sala and D.M. Straub, A new light particle in B decays?, Phys. Lett. B 774 (2017) 205 [arXiv:1704.06188] [INSPIRE].ADSCrossRefGoogle Scholar
  43. [43]
    S. Di Chiara et al., Minimal flavor-changing Zmodels and muon g − 2 after the \( {R}_{K^{*}} \) measurement, Nucl. Phys. B 923 (2017) 245 [arXiv:1704.06200] [INSPIRE].ADSCrossRefGoogle Scholar
  44. [44]
    A.K. Alok, B. Bhattacharya, A. Datta, D. Kumar, J. Kumar and D. London, New physics in b + μ after the measurement of \( {R}_{K^{*}} \), Phys. Rev. D 96 (2017) 095009 [arXiv:1704.07397] [INSPIRE].Google Scholar
  45. [45]
    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].ADSGoogle Scholar
  46. [46]
    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 bs anomalies, arXiv:1705.00915 [INSPIRE].
  47. [47]
    S.F. King, Flavourful Zmodels for \( {R}_{K^{\left(*\right)}} \), JHEP 08 (2017) 019 [arXiv:1706.06100] [INSPIRE].ADSCrossRefGoogle Scholar
  48. [48]
    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].ADSCrossRefGoogle Scholar
  49. [49]
    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].ADSMathSciNetCrossRefGoogle Scholar
  50. [50]
    G. Hiller and I. Nisandzic, R K and \( {R}_{K^{*}} \) beyond the Standard Model, Phys. Rev. D 96 (2017) 035003 [arXiv:1704.05444] [INSPIRE].ADSGoogle Scholar
  51. [51]
    H. Päs and E. Schumacher, Common origin of R K and neutrino masses, Phys. Rev. D 92 (2015) 114025 [arXiv:1510.08757] [INSPIRE].ADSGoogle Scholar
  52. [52]
    I. de Medeiros Varzielas and G. Hiller, Clues for flavor from rare lepton and quark decays, JHEP 06 (2015) 072 [arXiv:1503.01084] [INSPIRE].CrossRefGoogle Scholar
  53. [53]
    S.F. King, Flavourful Zmodels for \( {R}_{K^{\left(*\right)}} \), JHEP 08 (2017) 019 [arXiv:1706.06100] [INSPIRE].ADSCrossRefGoogle Scholar
  54. [54]
    S. Raby and A. Trautner, Vectorlike chiral fourth family to explain muon anomalies, Phys. Rev. D 97 (2018) 095006 [arXiv:1712.09360] [INSPIRE].ADSGoogle Scholar
  55. [55]
    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].ADSCrossRefGoogle Scholar
  56. [56]
    S. Antusch, C. Hohl, S.F. King and V. Susic, Non-universal Zfrom SO(10) GUTs with vector-like family and the origin of neutrino masses, Nucl. Phys. B 934 (2018) 578 [arXiv:1712.05366] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar
  57. [57]
    A.E. Cárcamo Hernández and S.F. King, Muon anomalies and the SU(5) Yukawa relations, arXiv:1803.07367 [INSPIRE].
  58. [58]
    A. Falkowski, S.F. King, E. Perdomo and M. Pierre, Flavourful Zportal for vector-like neutrino dark matter and \( {R}_{K^{\left(*\right)}} \), JHEP 08 (2018) 061 [arXiv:1803.04430] [INSPIRE].CrossRefGoogle Scholar
  59. [59]
    L. Ferretti, S.F. King and A. Romanino, Flavour from accidental symmetries, JHEP 11 (2006) 078 [hep-ph/0609047] [INSPIRE].CrossRefGoogle Scholar
  60. [60]
    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].ADSCrossRefGoogle Scholar
  61. [61]
    L. Di Luzio, M. Kirk and A. Lenz, Updated B s -mixing constraints on new physics models for bsℓ + anomalies, Phys. Rev. D 97 (2018) 095035 [arXiv:1712.06572] [INSPIRE].ADSGoogle Scholar
  62. [62]
    M. Artuso, G. Borissov and A. Lenz, CP violation in the B s0 system, Rev. Mod. Phys. 88 (2016) 045002 [arXiv:1511.09466] [INSPIRE].ADSCrossRefGoogle Scholar
  63. [63]
    Y. Nir, Flavour physics and CP-violation, in Proceedings, 7th CERNLatin-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].

Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.Department of Physics and AstronomyUniversity of SouthamptonSouthamptonU.K.

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