Advertisement

A 4 × U(1)PQ model for the lepton flavor structure and the strong CP problem

  • Takaaki Nomura
  • Yusuke Shimizu
  • Toshifumi Yamada
Open Access
Regular Article - Theoretical Physics

Abstract

We present a model with A 4 × U(1)PQ lepton flavor symmetry which explains the origin of the lepton flavor structure and also solves the strong CP problem. Standard model gauge singlet fields, so-called “flavons”, charged under the A 4 × U(1)PQ symmetry are introduced and are coupled with the lepton and the Higgs sectors. The flavon vacuum expectation values (VEVs) trigger spontaneous breaking of the A 4 × U(1)PQ symmetry. The breaking pattern of the A 4 accounts for the tri-bimaximal neutrino mixing and the deviation from it due to the non-zero θ 13 angle, and the breaking of the U(1)PQ gives rise to a pseudo-Nambu-Goldstone boson, axion, whose VEV cancels the QCD θ term. We investigate the breaking of the A 4 × U(1)PQ symmetry through an analysis on the scalar potential and further discuss the properties of the axion in the model, including its decay constant, mass and coupling with photons. It is shown that the axion decay constant is related with the right-handed neutrino mass through the flavon VEVs. Experimental constraints on the axion and their implications are also studied.

Keywords

Beyond Standard Model Discrete Symmetries Global Symmetries Neutrino Physics 

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]
    Daya Bay collaboration, F.P. An et al., Observation of electron-antineutrino disappearance at Daya Bay, Phys. Rev. Lett. 108 (2012) 171803 [arXiv:1203.1669] [INSPIRE].
  2. [2]
    RENO collaboration, J.K. Ahn et al., Observation of reactor electron antineutrino disappearance in the RENO experiment, Phys. Rev. Lett. 108 (2012) 191802 [arXiv:1204.0626] [INSPIRE].
  3. [3]
    Double CHOOZ collaboration, Y. Abe et al., Background-independent measurement of θ 13 in Double CHOOZ, Phys. Lett. B 735 (2014) 51 [arXiv:1401.5981] [INSPIRE].
  4. [4]
    H. Ishimori et al., Non-Abelian discrete symmetries in particle physics, Prog. Theor. Phys. Suppl. 183 (2010) 1 [arXiv:1003.3552] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  5. [5]
    H. Ishimori et al., An introduction to non-Abelian discrete symmetries for particle physicists, Lect. Notes Phys. 858 (2012) 1 [INSPIRE].MathSciNetMATHGoogle Scholar
  6. [6]
    H. Ishimori et al., Non-Abelian discrete symmetry for flavors, Fortschr. Phys. 61 (2013) 441 [INSPIRE].MathSciNetCrossRefMATHGoogle Scholar
  7. [7]
    S.F. King, A. Merle, S. Morisi, Y. Shimizu and M. Tanimoto, Neutrino mass and mixing: from theory to experiment, New J. Phys. 16 (2014) 045018 [arXiv:1402.4271] [INSPIRE].ADSCrossRefGoogle Scholar
  8. [8]
    C.A. Baker et al., An improved experimental limit on the electric dipole moment of the neutron, Phys. Rev. Lett. 97 (2006) 131801 [hep-ex/0602020] [INSPIRE].
  9. [9]
    R.D. Peccei and H.R. Quinn, CP conservation in the presence of instantons, Phys. Rev. Lett. 38 (1977) 1440 [INSPIRE].ADSCrossRefGoogle Scholar
  10. [10]
    R. Mayle et al., Constraints on axions from SN 1987a, Phys. Lett. B 203 (1988) 188 [INSPIRE].ADSCrossRefGoogle Scholar
  11. [11]
    G. Raffelt and D. Seckel, Bounds on exotic particle interactions from SN 1987a, Phys. Rev. Lett. 60 (1988) 1793 [INSPIRE].ADSCrossRefGoogle Scholar
  12. [12]
    M.S. Turner, Axions from SN 1987a, Phys. Rev. Lett. 60 (1988) 1797 [INSPIRE].ADSCrossRefGoogle Scholar
  13. [13]
    J.E. Kim, Weak interaction singlet and strong CP invariance, Phys. Rev. Lett. 43 (1979) 103 [INSPIRE].ADSCrossRefGoogle Scholar
  14. [14]
    M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, Can confinement ensure natural CP invariance of strong interactions?, Nucl. Phys. B 166 (1980) 493 [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar
  15. [15]
    M. Dine, W. Fischler and M. Srednicki, A simple solution to the strong CP problem with a harmless axion, Phys. Lett. B 104 (1981) 199 [INSPIRE].ADSCrossRefGoogle Scholar
  16. [16]
    A.R. Zhitnitsky, On possible suppression of the axion hadron interactions (in Russian), Sov. J. Nucl. Phys. 31 (1980) 260 [Yad. Fiz. 31 (1980) 497] [INSPIRE].
  17. [17]
    Y.H. Ahn, Flavored Peccei-Quinn symmetry, Phys. Rev. D 91 (2015) 056005 [arXiv:1410.1634] [INSPIRE].ADSGoogle Scholar
  18. [18]
    S. Antusch, M. Holthausen, M.A. Schmidt and M. Spinrath, Solving the strong CP problem with discrete symmetries and the right unitarity triangle, Nucl. Phys. B 877 (2013) 752 [arXiv:1307.0710] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  19. [19]
    Y. Muramatsu, T. Nomura and Y. Shimizu, Mass limit for light flavon with residual Z 3 symmetry, JHEP 03 (2016) 192 [arXiv:1601.04788] [INSPIRE].ADSCrossRefGoogle Scholar
  20. [20]
    P.F. Harrison, D.H. Perkins and W.G. Scott, Tri-bimaximal mixing and the neutrino oscillation data, Phys. Lett. B 530 (2002) 167 [hep-ph/0202074] [INSPIRE].
  21. [21]
    P.F. Harrison and W.G. Scott, Symmetries and generalizations of tri-bimaximal neutrino mixing, Phys. Lett. B 535 (2002) 163 [hep-ph/0203209] [INSPIRE].
  22. [22]
    B. Brahmachari, S. Choubey and M. Mitra, The A 4 flavor symmetry and neutrino phenomenology, Phys. Rev. D 77 (2008) 073008 [Erratum ibid. D 77 (2008) 119901] [arXiv:0801.3554] [INSPIRE].
  23. [23]
    J. Barry and W. Rodejohann, Deviations from tribimaximal mixing due to the vacuum expectation value misalignment in A 4 models, Phys. Rev. D 81 (2010) 093002 [Erratum ibid. D 81 (2010) 119901] [arXiv:1003.2385] [INSPIRE].
  24. [24]
    Y. Shimizu, M. Tanimoto and A. Watanabe, Breaking tri-bimaximal mixing and large θ 13, Prog. Theor. Phys. 126 (2011) 81 [arXiv:1105.2929] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  25. [25]
    I. de Medeiros Varzielas and D. Pidt, UV completions of flavour models and large θ 13, JHEP 03 (2013) 065 [arXiv:1211.5370] [INSPIRE].CrossRefGoogle Scholar
  26. [26]
    B. Karmakar and A. Sil, Nonzero θ 13 and leptogenesis in a type-I seesaw model with A 4 symmetry, Phys. Rev. D 91 (2015) 013004 [arXiv:1407.5826] [INSPIRE].ADSGoogle Scholar
  27. [27]
    Particle Data Group collaboration, K.A. Olive et al., Review of particle physics, Chin. Phys. C 38 (2014) 090001 [INSPIRE].
  28. [28]
    A. Ayala, I. Domínguez, M. Giannotti, A. Mirizzi and O. Straniero, Revisiting the bound on axion-photon coupling from globular clusters, Phys. Rev. Lett. 113 (2014) 191302 [arXiv:1406.6053] [INSPIRE].
  29. [29]
    ADMX collaboration, S.J. Asztalos et al., A SQUID-based microwave cavity search for dark-matter axions, Phys. Rev. Lett. 104 (2010) 041301 [arXiv:0910.5914] [INSPIRE].

Copyright information

© The Author(s) 2016

Authors and Affiliations

  • Takaaki Nomura
    • 1
  • Yusuke Shimizu
    • 1
    • 2
  • Toshifumi Yamada
    • 1
  1. 1.School of Physics, KIASSeoulRepublic of Korea
  2. 2.Graduate School of ScienceHiroshima UniversityHigashi-HiroshimaJapan

Personalised recommendations