Trimaximal neutrino mixing from modular \(A_4\) invariance with residual symmetries

DOI10.1016/J.PHYSLETB.2019.04.043zbMATH Open1421.81169arXiv1812.11289OpenAlexW2907058693MaRDI QIDQ2272353

Author name not available (Why is that?)

Publication date: 10 September 2019

Published in: (Search for Journal in Brave)

Abstract: We construct phenomenologically viable models of lepton masses and mixing based on modular

A_{4}

invariance broken to residual symmetries

m a t h b b Z_{3}^{T}

or

m a t h b b Z_{3}^{S T}

and

m a t h b b Z_{2}^{S}

respectively in the charged lepton and neutrino sectors. In these models the neutrino mixing matrix is of trimaximal mixing form. In addition to successfully describing the charged lepton masses, neutrino mass-squared differences and the atmospheric and reactor neutrino mixing angles

h e t a_{23}

and

h e t a_{13}

, these models predict the values of the lightest neutrino mass (i.e., the absolute neutrino mass scale), of the Dirac and Majorana CP violation(CPV) phases, as well as the existence of specific correlations between i) the values of the solar neutrino mixing angle

h e t a_{12}

and the angle

h e t a_{13}

(which determines

h e t a_{12}

), ii) the values of the Dirac CPV phase

d e l t a

and of the angles

h e t a_{23}

and

h e t a_{13}

, iii) the sum of the neutrino masses and

h e t a_{23}

, and iv) between the two Majorana phases.

Full work available at URL: https://arxiv.org/abs/1812.11289

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