No-go for tree-level R-symmetry breaking

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.

Comments: 8 pages, 7 figures; v2: discussion on Driac gauginos and references added; v3: a section on bypassing the no-go added, R-charge notation changed; v4: typos, EPJC pre-published version