On Anomaly Mediated SUSY Breaking

TL;DR

The paper resolves a discrepancy in anomaly-mediated SUSY breaking by showing the Kaplunovsky–Louis (KL) gaugino-mass expression correctly describes the Wilsonian action, with the Weyl compensator analysis determining the required F-term to reach the Einstein–Kaehler gauge. It introduces a distinct Dine–Seiberg (DS) mechanism that contributes to scalar masses independently of Weyl anomalies, potentially yielding positive slepton masses and exhibiting features reminiscent of gauge mediation. It also analyzes sequestered, no-scale models where the AMSB piece can vanish while the DS contribution persists, illustrating a DS–GMSB–like regime without triggering tachyonic sleptons. Overall, the work reframes soft masses as a combination of Weyl-anomaly–driven terms and DS-type effects, with implications for phenomenology and model-building in SUSY theories.

Abstract

A discrepancy between the Anomaly Mediated Supersymmetry Breaking (AMSB) gaugino mass calculated from the work of Kaplunovsky and Louis (hep-th/9402005) (KL) and other calculations in the literature is explained, and it is argued that the KL expression is the correct one relevant to the Wilsonian action. Furthermore it is argued that the AMSB contribution to the squark and slepton masses should be replaced by the contribution pointed out by Dine and Seiberg (DS) which has nothing to do with Weyl anomalies. This is not in general equivalent to the AMSB expression, and it is shown that there are models in which the usual AMSB expression would vanish but the DS one is non-zero. In fact the latter has aspects of both AMSB and gauge mediated SUSY breaking. In particular like the latter, it gives positive squared masses for sleptons.