Abstract
In this paper, we consider a neutrino mass model based on A 4 symmetry. The spontaneous symmetry breaking in this model is chosen to obtain tribimaximal mixing in the neutrino sector. We introduce Z 2 × Z 2 invariant perturbations in this model which can give rise to acceptable values of θ 13 and δ CP. Perturbation in the charged lepton sector alone can lead to viable values of θ 13, but cannot generate δ CP. Perturbation in the neutrino sector alone can lead to acceptable θ 13 and maximal CP violation. By adjusting the magnitudes of perturbations in both sectors, it is possible to obtain any value of δ CP.
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References
Z. Maki, M. Nakagawa and S. Sakata, Remarks on the unified model of elementary particles, Prog. Theor. Phys. 28 (1962) 870 [INSPIRE].
Particle Data Group collaboration, K. Nakamura et al., Review of particle physics, J. Phys. G 37 (2010) 075021 [INSPIRE].
D.V. Forero, M. Tortola and J.W.F. Valle, Global status of neutrino oscillation parameters after Neutrino-2012, Phys. Rev. D 86 (2012) 073012 [arXiv:1205.4018] [INSPIRE].
G.L. Fogli, E. Lisi, A. Marrone, D. Montanino, A. Palazzo and A.M. Rotunno, Global analysis of neutrino masses, mixings and phases: entering the era of leptonic CP-violation searches, Phys. Rev. D 86 (2012) 013012 [arXiv:1205.5254] [INSPIRE].
M.C. Gonzalez-Garcia, M. Maltoni, J. Salvado and T. Schwetz, Global fit to three neutrino mixing: critical look at present precision, JHEP 12 (2012) 123 [arXiv:1209.3023] [INSPIRE].
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].
Double CHOOZ collaboration, Y. Abe et al., Indication for the disappearance of reactor electron antineutrinos in the Double CHOOZ experiment, Phys. Rev. Lett. 108 (2012) 131801 [arXiv:1112.6353] [INSPIRE].
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].
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].
Daya Bay collaboration, F.P. An et al., Spectral measurement of electron antineutrino oscillation amplitude and frequency at Daya Bay, Phys. Rev. Lett. 112 (2014) 061801 [arXiv:1310.6732] [INSPIRE].
M. Blennow and T. Schwetz, Identifying the Neutrino mass Ordering with INO and NOvA, JHEP 08 (2012) 058 [Erratum ibid. 11 (2012) 098] [arXiv:1203.3388] [INSPIRE].
A. Ghosh, T. Thakore and S. Choubey, Determining the Neutrino Mass Hierarchy with INO, T2K, NOvA and Reactor Experiments, JHEP 04 (2013) 009 [arXiv:1212.1305] [INSPIRE].
M. Ribordy and A.Y. Smirnov, Improving the neutrino mass hierarchy identification with inelasticity measurement in PINGU and ORCA, Phys. Rev. D 87 (2013) 113007 [arXiv:1303.0758] [INSPIRE].
W. Winter, Neutrino mass hierarchy determination with IceCube-PINGU, Phys. Rev. D 88 (2013) 013013 [arXiv:1305.5539] [INSPIRE].
NOνA and LBNE collaborations, J.M. Paley, The search for CP violation and the determination of the neutrino mass hierarchy in NOνA and LBNE, PoS(ICHEP2012)393 [INSPIRE].
S.K. Agarwalla, Neutrino Mass Hierarchy in Future Long-baseline Experiments, Nucl. Phys. Proc. Suppl. 237-238 (2013) 196 [INSPIRE].
D.V. Forero, M. Tortola and J.W.F. Valle, Neutrino oscillations refitted, Phys. Rev. D 90 (2014) 093006 [arXiv:1405.7540] [INSPIRE].
P. Minkowski, μ → eγ at a Rate of One Out of 109 Muon Decays?, Phys. Lett. B 67 (1977) 421 [INSPIRE].
T. Yanagida, Horizontal Symmetry And Masses Of Neutrinos, in the proceedings of the Workshop on unified theory and baryon number of the universe, Tsukuba, Japan, February 13-14 (1979), O. Swada and A. Sugamoto eds., KEK (1979), p. 95 [Conf. Proc. C 7902131 (1979) 95] [INSPIRE].
M. Gell-Mann, P. Ramond and R. Slansky, Supergravity, P. van Nieuwenhuizen and D. Friedman eds., North-Holland, Amsterdam The Netherlands (1979), p. 315.
R.N. Mohapatra and G. Senjanović, Neutrino Mass and Spontaneous Parity Violation, Phys. Rev. Lett. 44 (1980) 912 [INSPIRE].
R.N. Mohapatra and S. Nussinov, Bimaximal neutrino mixing and neutrino mass matrix, Phys. Rev. D 60 (1999) 013002 [hep-ph/9809415] [INSPIRE].
C. Wetterich, Natural maximal ν μ -ν τ mixing, Phys. Lett. B 451 (1999) 397 [hep-ph/9812426] [INSPIRE].
S.F. King and G.G. Ross, Fermion masses and mixing angles from SU(3) family symmetry, Phys. Lett. B 520 (2001) 243 [hep-ph/0108112] [INSPIRE].
W. Grimus and L. Lavoura, Softly broken lepton numbers and maximal neutrino mixing, JHEP 07 (2001) 045 [hep-ph/0105212] [INSPIRE].
T. Ohlsson and G. Seidl, Bilarge leptonic mixing from Abelian horizontal symmetries, Phys. Lett. B 537 (2002) 95 [hep-ph/0203117] [INSPIRE].
T. Ohlsson and G. Seidl, A Flavor symmetry model for bilarge leptonic mixing and the lepton masses, Nucl. Phys. B 643 (2002) 247 [hep-ph/0206087] [INSPIRE].
K.S. Babu, E. Ma and J.W.F. Valle, Underlying A 4 symmetry for the neutrino mass matrix and the quark mixing matrix, Phys. Lett. B 552 (2003) 207 [hep-ph/0206292] [INSPIRE].
T. Kitabayashi and M. Yasue, S 2L permutation symmetry for left-handed μ and τ families and neutrino oscillations in an SU(3) L × U(1) N gauge model, Phys. Rev. D 67 (2003) 015006 [hep-ph/0209294] [INSPIRE].
W. Grimus and L. Lavoura, A Discrete symmetry group for maximal atmospheric neutrino mixing, Phys. Lett. B 572 (2003) 189 [hep-ph/0305046] [INSPIRE].
E. Ma and G. Rajasekaran, Softly broken A 4 symmetry for nearly degenerate neutrino masses, Phys. Rev. D 64 (2001) 113012 [hep-ph/0106291] [INSPIRE].
G. Altarelli and F. Feruglio, Tri-bimaximal neutrino mixing from discrete symmetry in extra dimensions, Nucl. Phys. B 720 (2005) 64 [hep-ph/0504165] [INSPIRE].
G. Altarelli and F. Feruglio, Tri-bimaximal neutrino mixing, A 4 and the modular symmetry, Nucl. Phys. B 741 (2006) 215 [hep-ph/0512103] [INSPIRE].
X.-G. He, Y.-Y. Keum and R.R. Volkas, A 4 flavor symmetry breaking scheme for understanding quark and neutrino mixing angles, JHEP 04 (2006) 039 [hep-ph/0601001] [INSPIRE].
R.N. Mohapatra, M.K. Parida and G. Rajasekaran, High scale mixing unification and large neutrino mixing angles, Phys. Rev. D 69 (2004) 053007 [hep-ph/0301234] [INSPIRE].
C. Hagedorn, M. Lindner and R.N. Mohapatra, S 4 flavor symmetry and fermion masses: Towards a grand unified theory of flavor, JHEP 06 (2006) 042 [hep-ph/0602244] [INSPIRE].
E. Ma, Neutrino mass matrix from S 4 symmetry, Phys. Lett. B 632 (2006) 352 [hep-ph/0508231] [INSPIRE].
J.A. Acosta, A. Aranda, M.A. Buen-Abad and A.D. Rojas, Non-diagonal charged lepton mass matrix and non-zero θ 13, Phys. Lett. B 718 (2013) 1413 [arXiv:1207.6093] [INSPIRE].
J.A. Acosta, A. Aranda and J. Virrueta, CP violating phase from charged-lepton mixing, JHEP 04 (2014) 134 [arXiv:1402.0754] [INSPIRE].
D. Aristizabal Sierra, I. de Medeiros Varzielas and E. Houet, Eigenvector-based approach to neutrino mixing, Phys. Rev. D 87 (2013) 093009 [arXiv:1302.6499] [INSPIRE].
D. Aristizabal Sierra and I. de Medeiros Varzielas, Reactor mixing angle from hybrid neutrino masses, JHEP 07 (2014) 042 [arXiv:1404.2529] [INSPIRE].
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].
Y. Grossman and W.H. Ng, Nonzero θ 13 in SO(3) → A 4 lepton models, Phys. Rev. D 91 (2015) 073005 [arXiv:1404.1413] [INSPIRE].
A.E. Carcamo Hernandez, I. de Medeiros Varzielas, S.G. Kovalenko, H. Päs and I. Schmidt, Lepton masses and mixings in an A 4 multi-Higgs model with a radiative seesaw mechanism, Phys. Rev. D 88 (2013) 076014 [arXiv:1307.6499] [INSPIRE].
W. Grimus, Theory of Neutrino Masses and Mixing, Phys. Part. Nucl. 42 (2011) 566 [arXiv:1101.0137] [INSPIRE].
J. Barry and W. Rodejohann, Neutrino Mass Sum-rules in Flavor Symmetry Models, Nucl. Phys. B 842 (2011) 33 [arXiv:1007.5217] [INSPIRE].
Y. BenTov, X.-G. He and A. Zee, An A 4 × Z 4 model for neutrino mixing, JHEP 12 (2012) 093 [arXiv:1208.1062] [INSPIRE].
F. Feruglio, C. Hagedorn and R. Ziegler, Lepton Mixing Parameters from Discrete and CP Symmetries, JHEP 07 (2013) 027 [arXiv:1211.5560] [INSPIRE].
M.-C. Chen, J. Huang, K.T. Mahanthappa and A.M. Wijangco, Large θ 13 in a SUSY SU(5) × T′ Model, JHEP 10 (2013) 112 [arXiv:1307.7711] [INSPIRE].
T2K collaboration, K. Abe et al., Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam, Phys. Rev. Lett. 107 (2011) 041801 [arXiv:1106.2822] [INSPIRE].
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Dev, A., Ramadevi, P. & Sankar, S.U. Non-zero θ 13 and δ CP in a neutrino mass model with A4 symmetry. J. High Energ. Phys. 2015, 34 (2015). https://doi.org/10.1007/JHEP11(2015)034
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DOI: https://doi.org/10.1007/JHEP11(2015)034