Classifying $CP$ transformations according to their texture zeros: Theory and implications

Classifying $C P$ transformations according to their texture zeros: Theory and implications

Peng Chen, Gui-Jun Ding, Felix Gonzalez-Canales, and J. W. F. Valle

Phys. Rev. D 94, 033002 – Published 4 August 2016

Abstract

We provide a classification of generalized $C P$ symmetries preserved by the neutrino mass matrix according to the number of zero entries in the associated transformation matrix. We determine the corresponding constrained form of the lepton mixing matrix, characterized by correlations between the mixing angles and the $C P$ violating phases. We compare with the corresponding restrictions from current neutrino oscillation global fits and show that, in some cases, the Dirac $C P$ phase characterizing oscillations is highly constrained. Implications for current and upcoming long baseline neutrino oscillation experiments T2K, $NO ν A$ , and DUNE, as well as neutrinoless double beta decay experiments are discussed. We also study the cosmological implications of such schemes for leptogenesis.

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Received 30 April 2016

DOI:https://doi.org/10.1103/PhysRevD.94.033002

Physics Subject Headings (PhySH)

Neutrinos

CP symmetry Flavor symmetries

Particles & Fields

Authors & Affiliations

Peng Chen^1,*, Gui-Jun Ding^1,†, Felix Gonzalez-Canales^2,3,‡, and J. W. F. Valle^2,§

¹Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China
²AHEP Group, Institut de Física Corpuscular—C.S.I.C./Universitat de València, Parc Cientific de Paterna. C/Catedratico José Beltrán, 2 E-46980 Paterna (València), Spain
³Departamento de Física, Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Apartado Postal 14-740, 07000 México D.F., Mexico

^*pche@mail.ustc.edu.cn
^†dinggj@ustc.edu.cn
^‡felix.gonzalez@ific.uv.es
^§valle@ific.uv.es http://astroparticles.es/

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Issue

Vol. 94, Iss. 3 — 1 August 2016

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Physical Review D

covering particles, fields, gravitation, and cosmology