Neutrino Mixing and the Frobenius Group T13

TL;DR

This paper demonstrates that the Frobenius group T13 can serve as an effective family symmetry to accurately model neutrino oscillations, achieving an exact fit between neutrino and charged lepton sectors.

Contribution

It introduces the Frobenius group T13 as a novel family symmetry for neutrino models, providing an exact fit with tribimaximal mixing within an effective field theory framework.

Findings

Exact fit between neutrino and charged lepton sectors achieved

T13 group successfully constrains neutrino mixing models

Potential for T13 to be compatible with other theoretical mechanisms

Abstract

We show that the Frobenius group $T_{13} = Z_{13} \rtimes Z_3$ is a suitable family symmetry group to study neutrino oscillations. Our approach is to catalog all possibilities within an effective field theory approach, assuming only SU(2)xU(1) supplemented by family symmetry. We will use tribimaximal mixing as a guide to place a constraint on the otherwise various possibilities. This leads to an exact fit between the neutrino and charged lepton sector. Such a fit has not been achieved with any other group so far. The results of this paper may then be useful in future studies on the compatibility of this Frobenius group with other models and mechanisms.