Dynamical $U(1)_R$ Breaking in the Metastable Vacua

TL;DR

This paper explores spontaneous $U(1)_R$ symmetry breaking in a supersymmetric model, dynamically generating the messenger scale and analyzing the implications for gauge mediation with a supersymmetry breaking scale around 10^6 GeV.

Contribution

It introduces a parametrization of $U(1)_R$ breaking using gauge singlets with specific R-charges, linking the breaking to messenger dynamics and scale generation.

Findings

Messenger scale is dynamically generated without hierarchy problem.

Supersymmetry breaking scale is approximately 10^6 GeV.

The model provides a consistent gauge mediation framework.

Abstract

In the Intriligator-Seiberg-Shih model, we parametrize spontaneous breaking of $U(1)_R$ symmetry with two gauge singlets with R-charges 1 and --1. These singlets can play the role of the messengers. The messenger scale is dynamically generated, and hence there is no hierarchy problem between the supersymmetry breaking scale and the messenger scale. In the gauge mediation scenario, supersymmetry breaking scale turns out to be around $\mathcal{O}(10^6)\textrm{GeV}$.