Mu-tau reflection symmetry with a high scale texture-zero

Journal of High Energy Physics, Sep 2018

Abstract The μτ -reflection symmetric neutrino mass matrix can accommodate all known neutrino mixing angles, with maximal atmospheric angle fixed, and predicts all the unknown CP phases of the lepton sector but is unable to predict the absolute neutrino mass scale. Here we present a highly predictive scenario where μτ -reflection is combined with a discrete abelian symmetry to enforce a texture-zero in the mass matrix of the heavy right-handed neutrinos that generate the light neutrino masses. Such a restriction reduces the free parameters of the low energy theory to zero and the absolute neutrino mass scale is restricted to few discrete regions, three in the few meV range and one extending up to around 30 meV. The heavy neutrino sector is dependent only on two free parameters which are further restricted to small regions from the requirement of successful leptogenesis. Mass degenerate heavy neutrinos are possible in one case but there is no resonant enhancement of the CP asymmetry.

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Mu-tau reflection symmetry with a high scale texture-zero

Journal of High Energy Physics September 2018, 2018:42 | Cite as Mu-tau reflection symmetry with a high scale texture-zero AuthorsAuthors and affiliations C. C. NishiB. L. Sánchez-VegaG. Souza Silva Open Access Regular Article - Theoretical Physics First Online: 07 September 2018 Received: 26 June 2018 Revised: 10 August 2018 Accepted: 23 August 2018 19 Downloads Abstract The μτ -reflection symmetric neutrino mass matrix can accommodate all known neutrino mixing angles, with maximal atmospheric angle fixed, and predicts all the unknown CP phases of the lepton sector but is unable to predict the absolute neutrino mass scale. Here we present a highly predictive scenario where μτ -reflection is combined with a discrete abelian symmetry to enforce a texture-zero in the mass matrix of the heavy right-handed neutrinos that generate the light neutrino masses. Such a restriction reduces the free parameters of the low energy theory to zero and the absolute neutrino mass scale is restricted to few discrete regions, three in the few meV range and one extending up to around 30 meV. The heavy neutrino sector is dependent only on two free parameters which are further restricted to small regions from the requirement of successful leptogenesis. Mass degenerate heavy neutrinos are possible in one case but there is no resonant enhancement of the CP asymmetry. Keywords Beyond Standard Model Neutrino Physics CP violation  ArXiv ePrint: 1806.07412 Download to read the full article text 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] 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] 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] Double CHOOZ collaboration, Y. Abe et al., Reactor electron antineutrino disappearance in the Double CHOOZ experiment, Phys. Rev. D 86 (2012) 052008 [arXiv:1207.6632] [INSPIRE]. [4] P.F. Harrison and W.G. Scott, μ-τ reflection symmetry in lepton mixing and neutrino oscillations, Phys. Lett. B 547 (2002) 219 [hep-ph/0210197] [INSPIRE]. [5] W. Grimus and L. Lavoura, A Nonstandard CP transformation leading to maximal atmospheric neutrino mixing, Phys. Lett. B 579 (2004) 113 [hep-ph/0305309] [INSPIRE]. [6] Z.-z. Xing and Z.-h. Zhao, A review of μ-τ flavor symmetry in neutrino physics, Rept. Prog. Phys. 79 (2016) 076201 [arXiv:1512.04207] [INSPIRE]. [7] F. Capozzi, E. Lisi, A. Marrone and A. Palazzo, Current unknowns in the three neutrino framework, Prog. Part. Nucl. Phys. 102 (2018) 48 [arXiv:1804.09678] [INSPIRE].ADSCrossRefGoogle Scholar [8] I. Esteban, M.C. Gonzalez-Garcia, M. Maltoni, I. Martinez-Soler and T. Schwetz, Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity, JHEP 01 (2017) 087 [arXiv:1611.01514] [INSPIRE] and online updated results at http://www.nu-fit.org/?q=node/166. [9] P.F. de Salas, D.V. Forero, C.A. Ternes, M. Tortola and J.W.F. Valle, Status of neutrino oscillations 2018: 3σ hint for normal mass ordering and improved CP sensitivity, Phys. Lett. B 782 (2018) 633 [arXiv:1708.01186] [INSPIRE].ADSCrossRefGoogle Scholar [10] IceCube collaboration, M.G. Aartsen et al., Measurement of Atmospheric Neutrino Oscillations at 6-56 GeV with IceCube DeepCore, Phys. Rev. Lett. 120 (2018) 071801 [arXiv:1707.07081] [INSPIRE]. [11] M. Fukugita and T. Yanagida, Baryogenesis Without Grand Unification, Phys. Lett. B 174 (1986) 45 [INSPIRE].ADSCrossRefGoogle Scholar [12] W. Buchmüller, P. Di Bari and M. Plümacher, Leptogenesis for pedestrians, Annals Phys. 315 (2005) 305 [hep-ph/0401240] [INSPIRE]. [13] R.N. Mohapatra and C.C. Nishi, Implications of μ-τ flavored CP symmetry of leptons, JHEP 08 (2015) 092 [arXiv:1506.06788] [INSPIRE].ADSCrossRefGoogle Scholar [14] C. Hagedorn, R.N. Mohapatra, E. Molinaro, C.C. Nishi and S.T. Petcov, CP Violation in the Lepton Sector and Implications for Leptogenesis, Int. J. Mod. Phys. A 33 (2018) 1842006 [arXiv:1711.02866] [INSPIRE]. [15] K. Chakraborty, K.N. Deepthi, S. Goswami, A.S. Joshipura and N. Nath, Partial μ-τ Reflection Symmetry and Its Verification at DUNE and Hyper-Kamiokande, arXiv:1804.02022 [INSPIRE]. [16] Z.-z. Xing and S. Zhou, A partial μ-τ symmetry and its prediction for leptonic CP-violation, Phys. Lett. B 737 (2014) 196 [arXiv:1404.7021] [INSPIRE]. [17] N. Nath, Consequences of μ-τ Reflection Symmetry at DUNE, arXiv:1805.05823 [INSPIRE]. [18] C.C. Nishi and B.L. Sánchez-Vega, Mu-tau reflection symmetry with a texture-zero, JHEP 01 (2017) 068 [arXiv:1611.08282] [INSPIRE].AD (...truncated)


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C. C. Nishi, B. L. Sánchez-Vega, G. Souza Silva. Mu-tau reflection symmetry with a high scale texture-zero, Journal of High Energy Physics, 2018, pp. 42, Volume 2018, Issue 9, DOI: 10.1007/JHEP09(2018)042