Flavored Gauge-Mediated Supersymmetry Breaking Models with Discrete Non-Abelian Symmetries

TL;DR

This paper explores flavored gauge mediation models with an S3 discrete symmetry, linking flavor structures to supersymmetry breaking, resulting in a heavier superpartner spectrum due to the requirement of two messenger pairs.

Contribution

It systematically analyzes models embedding Higgs and messenger doublets in S3 multiplets, connecting flavor hierarchies with supersymmetry breaking parameters, and discusses phenomenological implications.

Findings

Heavier superpartner spectrum compared to Abelian symmetry models

Viable models require two vectorlike pairs of messenger fields

Framework accommodates hierarchical quark and lepton masses

Abstract

We investigate flavored gauge mediation models in which the Higgs and messenger doublets are embedded in multiplets of the discrete non-Abelian symmetry S3. In these theories, the S3 symmetry correlates the flavor structure of the quark and lepton Yukawa couplings with the structure of the messenger Yukawa couplings that contribute to the soft supersymmetry breaking mass parameters. We provide a systematic exploration of possible scenarios within this framework that can accommodate hierarchical quark and charged lepton masses, and examine the resulting phenomenological implications in each case. We find a heavier spectrum for the superpartner masses compared to flavored gauge mediation models controlled by Abelian symmetries, which can be directly traced back to the need in our scenarios for two vectorlike pairs of messenger fields for viable electroweak symmetry breaking.