Abstract
We propose new lepton-mixing textures that may be enforced through well-defined symmetries in renormalizable models. Each of our textures has four sum rules for the neutrino mass observables. The models are based on the type-I seesaw mechanism; their charged-lepton mass matrices are diagonal because of the symmetries imposed. Each model has three versions, depending on the identification of the charged leptons. Testing all the models, we have found that five of them agree with the data at the 1σ level when the neutrino-mass ordering is normal, and two models agree with the data for an inverted ordering. We detail the predictions of each of those seven models.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
P. Minkowski, μ → eγ at a rate of one out of 109muon decays?, Phys. Lett.B 67 (1977) 421.
T. Yanagida, Horizontal symmetry and masses of neutrinos, in the proceedings of the Workshop on unified theory and baryon number in the universe, O. Sawada and A. Sugamoto eds., KEK, Tsukuba, Japan (1979).
S.L. Glashow, The future of elementary particle physics, in Quarks and leptons, Cargèse lectures, M. Lévy et al. eds., Plenum Press, New York, U.S.A. (1980).
M. Gell-Mann, P. Ramond, R. Slansky, Complex spinors and unified theories, in Supergravity, D.Z. Freedman and P. van Nieuwenhuizen eds., North Holland, Amsterdam, The Netherlands (1979).
R.N. Mohapatra and G. Senjanović, Neutrino mass and spontaneous parity nonconservation, Phys. Rev. Lett.44 (1980) 912 [INSPIRE].
W. Grimus and L. Lavoura, The seesaw mechanism at arbitrary order: disentangling the small scale from the large scale, JHEP11 (2000) 042 [hep-ph/0008179] [INSPIRE].
Particle Data Group collaboration, Review of particle physics, Phys. Rev.D 98 (2018) 030001 [INSPIRE].
P.F. de Salas et al., 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].
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].
I. Esteban et al., Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of θ 23, δ CPand the mass ordering, JHEP01 (2019) 106 [arXiv:1811.05487] [INSPIRE].
http://www.nu-fit.org and http://www.nu-fit.org/?q=node/177.
P.H. Frampton, S.L. Glashow and D. Marfatia, Zeroes of the neutrino mass matrix, Phys. Lett.B 536 (2002) 79 [hep-ph/0201008] [INSPIRE].
L. Lavoura, Zeros of the inverted neutrino mass matrix, Phys. Lett.B 609 (2005) 317 [hep-ph/0411232] [INSPIRE].
P.M. Ferreira, L. Lavoura and P.O. Ludl, Five models for lepton mixing, JHEP08 (2013) 113 [arXiv:1304.1654] [INSPIRE].
P.M. Ferreira, L. Lavoura and P.O. Ludl, A new A 4model for lepton mixing, Phys. Lett.B 726 (2013) 767 [arXiv:1306.1500] [INSPIRE].
W. Grimus et al., μ-τ antisymmetry and neutrino mass matrices, JHEP01 (2006) 110 [hep-ph/0510326] [INSPIRE].
W. Grimus and L. Lavoura, Maximal atmospheric neutrino mixing and the small ratio of muon to τ mass, J. Phys.G 30 (2004) 73 [hep-ph/0309050] [INSPIRE].
F. Feruglio, C. Hagedorn and R. Ziegler, Lepton mixing parameters from discrete and CP symmetries, JHEP07 (2013) 027 [arXiv:1211.5560] [INSPIRE].
S. Vagnozzi et al., Unveiling ν secrets with cosmological data: neutrino masses and mass hierarchy, Phys. Rev.D 96 (2017) 123503 [arXiv:1701.08172] [INSPIRE].
Planck collaboration, Planck 2018 results. I. Overview and the cosmological legacy of Planck, arXiv:1807.06205 [INSPIRE].
J. Alcaide, J. Salvado and A. Santamaria, Fitting flavour symmetries: the case of two-zero neutrino mass textures, JHEP07 (2018) 164 [arXiv:1806.06785] [INSPIRE].
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.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1902.07544
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Jurčiukonis, D., Lavoura, L. More models for lepton mixing with four constraints. J. High Energ. Phys. 2019, 157 (2019). https://doi.org/10.1007/JHEP07(2019)157
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP07(2019)157