No-go for tree-level R-symmetry breaking

TL;DR

This paper demonstrates that in gauge mediation models with tree-level R-symmetry breaking, gaugino masses are either zero at one loop or require loop-level breaking, making tree-level breaking ineffective or redundant.

Contribution

The paper proves a no-go theorem for tree-level R-symmetry breaking in simple gauge mediation models and suggests a way to bypass it using explicit messenger mass terms.

Findings

Gaugino mass vanishes at one loop in simple models

Loop-level R-symmetry breaking contributes to gaugino mass

Explicit messenger mass terms can bypass the no-go theorem

Abstract

We show that in gauge mediation models with tree-level R-symmetry breaking where supersymmetry and R-symmetries are broken by different fields, the gaugino mass either vanishes at one loop or finds a contribution from loop-level R-symmetry breaking. Thus tree-level R-symmetry breaking for phenomenology is either no-go or redundant in the simplest type of models. Including explicit messenger mass terms in the superpotential with a particular R-charge arrangement is helpful to bypass the no-go theorem, and the resulting gaugino mass is suppressed by the messenger mass scale.