Flavored Gauge Mediation with Discrete Non-Abelian Symmetries

TL;DR

This paper investigates flavored gauge mediation models with a non-Abelian discrete symmetry, specifically S(3), to relate Yukawa couplings and messenger interactions, addressing the mu/B_mu problem and constructing viable models consistent with the 125 GeV Higgs.

Contribution

It introduces a novel flavored gauge mediation framework with non-Abelian symmetries, providing solutions to the mu/B_mu problem and demonstrating viable models with realistic Higgs mass.

Findings

Expanded Higgs-messenger content allows mu and B_mu to be tuned separately.

Models can be constructed consistent with the 125 GeV Higgs.

Addressed the mu/B_mu problem in flavored gauge mediation.

Abstract

We explore the model-building and phenomenology of flavored gauge mediation models of supersymmetry breaking in which the electroweak Higgs doublets and the SU(2) messenger doublets are connected by a discrete non-Abelian symmetry. The embedding of the Higgs and messenger fields into representations of this non-Abelian Higgs-messenger symmetry results in specific relations between the Standard Model Yukawa couplings and the messenger-matter Yukawa interactions. Taking the concrete example of an S(3) Higgs-messenger symmetry, we demonstrate that while the minimal implementation of this scenario suffers from a severe mu/B_mu problem that is well-known from ordinary gauge mediation, expanding the Higgs-messenger field content allows for the possibility that mu and B_mu can be separately tuned, allowing for the possibility of phenomenologically viable models of the soft supersymmetry breaking terms. We construct toy examples of this type that are consistent with the observed 125 GeV Higgs boson mass.