Low-energy Supersymmetry Breaking Without the Gravitino Problem

TL;DR

This paper proposes a new supersymmetry breaking mechanism called 'vector mediation' that allows for low gravitino masses compatible with cosmological constraints, while maintaining viable particle spectra.

Contribution

Introduction of a $U(1)$ $D$-term mediated supersymmetry breaking model inspired by $E_6$, addressing the gravitino problem and the $$-problem.

Findings

Gravitino mass can be in the eV range.

Sfermion masses around 10 TeV, gauginos around 1 TeV.

Significantly alleviates the $$-problem.

Abstract

In models of low-energy gauge mediation, the observed Higgs mass is in tension with the cosmological limit on the gravitino mass $m_{3/2} \lesssim 16$ eV. We present an alternative mediation mechanism of supersymmetry breaking via a $U(1)$ $D$-term with an $E_6$-inspired particle content, which we call "vector mediation". The gravitino mass can be in the eV range. The sfermion masses are at the 10 TeV scale, while gauginos around a TeV. This mechanism also greatly ameliorates the $\mu$-problem.