Spontaneous SUSY breaking without R-symmetry in supergravity

TL;DR

This paper presents a supergravity-based model where spontaneous SUSY breaking occurs without R-symmetry, allowing gaugino masses to be comparable to gravitino mass, and discusses implications for GUT models.

Contribution

It demonstrates that gaugino masses can be large in supergravity models without R-symmetry, contrasting with global SUSY predictions, and explores anomaly cancellation and GUT applications.

Findings

Gaugino masses can be as large as gravitino mass in supergravity.

R-symmetry absence allows significant contributions from the superpotential constant term.

The model provides a framework for SUSY breaking compatible with GUT models.

Abstract

We discuss spontaneous supersymmetry (SUSY) breaking in a model with an anomalous $U(1)_A$ symmetry. In this model, the size of the each term in the superpotential is controlled by the $U(1)_A$ charge assignment and SUSY is spontaneously broken via the Fayet-Iliopoulos of $U(1)_A$ at the meta-stable vacuum. In the global SUSY analysis, the gaugino masses become much smaller than the sfermion masses, because an approximate R-symmetry appears at the SUSY breaking vacuum. In this paper, we show that gaugino masses can be as large as gravitino mass, taking the supergravity effect into consideration. This is because the R-symmetry is not imposed so that the constant term in the superpotential, which is irrelevant to the global SUSY analysis, largely contributes to the soft SUSY breaking terms in the supergravity. As the mediation mechanism, we introduce the contributions of the field not charged under $U(1)_A$ and the moduli field to cancel the anomaly of $U(1)_A$. We comment on the application of our SUSY breaking scenario to the GUT models.