Semi-direct Gauge Mediation in Conformal Windows of Vector-like Gauge Theories

TL;DR

This paper introduces a semi-direct gauge mediation model within conformal windows of vector-like gauge theories, addressing Landau pole and R symmetry issues in SUSY breaking models.

Contribution

It proposes a novel gauge mediation framework based on conformal window SUSY-breaking models with minimal free parameters.

Findings

Model naturally produces comparable gaugino and sfermion masses.

Small color number $N_C$ avoids Landau pole problems.

R symmetry is broken through strong dynamics assumptions.

Abstract

Direct gauge mediation models using the Intriligator-Seiberg-Shih (ISS) metastable vacua suffer from the Landau pole problem of the standard model gauge couplings and the existence of R symmetry forbidding gaugino masses. These problems may be solved by using the recently proposed SUSY breaking models in a conformal window of the vector-like $SU(N_C)$ gauge theory with gauge singlets. In this paper we propose a model of gauge mediation based on the SUSY-breaking model in the conformal window, and study the dynamics for the SUSY breaking. In the model, there are massive vector-like bifundamental fields charged under both $SU(N_C)$ and the standard model gauge group, and our model can be regarded as a semi-direct gauge mediation model. The color number $N_C$ can be small to avoid the Landau pole problem, and the R symmetry is also broken under a reasonable assumption on the strong dynamics of the model. The model possesses only one free parameter, and the gaugino and sfermion masses are naturally of the same order.