Gaugino Mass without Singlets

TL;DR

The paper demonstrates a model-independent, all-orders quantum contribution to gaugino masses in dynamical SUSY-breaking scenarios that lack hidden-sector singlets, arising from the superconformal anomaly and tying the masses to gauge beta functions. This overturns the prior belief that gaugino masses must be suppressed to the keV scale in singlet-free models and predicts gaugino mass ratios set by beta-function coefficients. The authors provide explicit regulator-based calculations, a general 1PI/analytic-continuation argument, and an anomaly-multiplet perspective, with significant phenomenological implications including heavy scalar masses, LSP composition variability, and novel μ-term generation strategies. They also discuss the absence of Polonyi problems and the broader impact on hidden-sector model-building and experimental tests.

Abstract

In models with dynamical supersymmetry breaking in the hidden sector, the gaugino masses in the observable sector have been believed to be extremely suppressed (below 1 keV), unless there is a gauge singlet in the hidden sector with specific couplings to the observable sector gauge multiplets. We point out that there is a pure supergravity contribution to gaugino masses at the quantum level arising from the superconformal anomaly. Our results are valid to all orders in perturbation theory and are related to the `exact' beta functions for soft terms. There is also an anomaly contribution to the A terms proportional to the beta function of the corresponding Yukawa coupling. The gaugino masses are proportional to the corresponding gauge beta functions, and so do not satisfy the usual GUT relations.