Fermion mass and mixing pattern in a minimal T7 flavor 331 model

TL;DR

This paper proposes a minimal T7 flavor 331 model that explains fermion masses and mixings, incorporating a double seesaw mechanism for neutrinos and fitting experimental data with high precision.

Contribution

It introduces a novel minimal T7 flavor 331 framework that successfully reproduces fermion mass hierarchies and mixing patterns, including neutrino masses and neutrinoless double beta decay predictions.

Findings

Model fits 18 observables with 16 parameters.

Predicts neutrinoless double beta decay masses of 3 and 40 meV.

Features a vanishing leptonic Dirac CP phase.

Abstract

We present a model based on the $SU(3)_{C}\otimes SU(3)_{L}\otimes U(1)_{X}$ gauge symmetry having an extra $T_{7}\otimes Z_{2}\otimes Z_{3}\otimes Z_{14} $ flavor group, which successfully describes the observed SM fermion mass and mixing pattern. In this framework, the light active neutrino masses arise via double seesaw mechanism and the observed charged fermion mass and quark mixing hierarchy is a consequence of the $Z_{2}\otimes Z_{3}\otimes Z_{14}$ symmetry breaking at very high energy. In our minimal $T_{7}$ flavor 331 model, the spectrum of neutrinos includes very light active neutrinos as well as heavy and very heavy sterile neutrinos. The model has in total 16 effective free parameters, which are fitted to reproduce the experimental values of the 18 physical observables in the quark and lepton sectors. The obtained physical observables for both quark and lepton sectors are compatible with their experimental values. The model predicts the effective Majorana neutrino mass parameter of neutrinoless double beta decay to be $% m_{\beta \beta }=$ 3 and 40 meV for the normal and the inverted neutrino spectrum, respectively. Furthermore, our model features a vanishing leptonic Dirac CP violating phase.