Explicit R-Symmetry Breaking and Metastable Vacua

TL;DR

This paper investigates models with explicit R-symmetry breaking, exploring their vacuum structures and implications for gauge-mediated supersymmetry breaking, including the effects on soft masses and unification.

Contribution

It constructs non-R-symmetric models with singlet fields, analyzes their vacuum landscape, and extends results to models with non-trivial SU(5) representations, impacting SUSY breaking and phenomenology.

Findings

Identification of conditions for SUSY vacua, runaway directions, and metastable vacua.

Calculation of gaugino and sfermion soft masses in extended models.

Analysis of unification, doublet/triplet splitting, and CP violation issues.

Abstract

We consider O'Raifeartaigh-like models with explicit R-symmetry breaking and analyze the vacuum landscape. Taking such models as candidates for the hidden sector, we analyze the gauge mediation of the supersymmetry breaking, focusing on the effects produced by R-symmetry breaking. First, we construct families of non-R-symmetric models containing only singlet chiral superfields, and determine the conditions under which SUSY vacua, runaway directions and (longlived) metastable vacua exist. We then extend the results to the case in which some of the chiral fields are in a non-trivial representation of SU(5). Gauging this symmetry, we compute soft masses for gauginos and sfermions, and analyze several issues such as doublet/triplet splitting, unification of coupling constants and CP violation phases.