Model of flavor with quaternion symmetry

TL;DR

This paper introduces a renormalizable fermion mass model based on quaternion symmetry Q_4, explaining fermion masses and mixings without right-handed neutrinos, using only four scalar fields and radiative neutrino mass generation.

Contribution

It presents a novel flavor model employing quaternion symmetry Q_4 that successfully accounts for all fermion masses and mixing angles with minimal scalar content and no right-handed neutrinos.

Findings

Model accommodates all fermion masses and mixings.

Neutrino masses generated radiatively without right-handed neutrinos.

Uses only four scalar doublets transforming under the flavor symmetry.

Abstract

We present a renormalizable fermion mass model based on the symmetry $Q_4$ that accommodates all fermion masses and mixing angles in both the quark and lepton sectors. It requires the presence of only four SU(2) doublet scalar fields transforming non trivially under the flavor symmetry and the assumption of an alignment between first and second generation Yukawa couplings. No right-handed neutrinos are present in the model and neutrino masses are generated radiatively through the introduction of two additional SU(2) singlet fields charged under both hypercharge and lepton number.