Gauge Mediation with Gauge Messengers in SU(5)

TL;DR

This paper investigates gauge mediation models with gauge messengers in SU(5) GUTs, addressing tachyonic mass issues and proposing solutions that connect SUSY breaking with GUT symmetry breaking, offering new model-building insights.

Contribution

It introduces solutions to tachyonic masses in gauge messenger models within SU(5) GUTs and links SUSY breaking to GUT symmetry breaking, enhancing model viability.

Findings

Proposes two solutions to tachyonic squark and slepton masses.

Connects SUSY breaking with GUT symmetry breaking to favor SU(5)→SU(3)×SU(2)×U(1).

Addresses the doublet-triplet problem in model realization.

Abstract

The inclusion of gauge messengers in models of gauge mediation allows for more general predictions that those described by the framework of general gauge mediation. Motivated by this, we explore some models of gauge mediation with gauge messengers in SU(5) GUTs. In most previous attempts of building viable models where gauge messengers play a role in determining the soft terms, squark and/or slepton masses turned out to be tachyonic. The objective of this paper is to address this problem and propose two possible solutions, one of which has a natural realization in the solution of the doublet-triplet problem. Another interesting result is that in these models the association of SUSY breaking with the breaking of the GUT group provides a simple mechanism that can explain why $SU(5)\rightarrow SU(3)\times SU(2) \times U(1)$ is preferred over other symmetry breaking patterns.