Quark Masses in Supersymmetric SU(3)color x SU(3)W x U(1)X Model with Discrete T' flavor symmetry

TL;DR

This paper introduces a supersymmetric quark flavor model based on a discrete T' symmetry within an SU(3) x SU(3) x U(1) framework, explaining quark masses and suppressing FCNC effects.

Contribution

It presents a novel supersymmetric model incorporating T' flavor symmetry to explain quark mass hierarchies and FCNC suppression in a 3-3-1 context.

Findings

Heavy quark masses generated as in 3-3-1 models

Light quark masses arise from T' symmetry breaking

FCNC effects are suppressed at leading order

Abstract

We propose a supersymmetric model of quark flavor symmetry based on SU(3)colorxSU(3)WxU(1)X x T' where T' (binary tetrahedral group) is a discrete flavor symmetry group. The third (heavy) generation of quarks are assigned to singlet representation of T' while light quark generations are treated differently and assigned to doublet representation of T' . The model generates masses for heavy quarks as in 3-3-1 case. The quark mass terms for the second generation are obtained when T' symmetry is broken at leading order and for first generation with small higher order corrections .The flavor-changing neutral current (FCNC) effects are suppressed at leading order for third to second generation quark transitions due to T' breaking which is an attractive feature of the 3-3-1 model with T' symmetry.