Low-Scale Gauge Mediation with a 100 TeV Gravitino

TL;DR

This paper introduces a novel low-scale gauge-mediated supersymmetry breaking framework with a heavy gravitino (~100 TeV) using extra dimensions, addressing cosmological issues and enabling proper electroweak symmetry breaking.

Contribution

It presents a new model with a heavy gravitino in gauge mediation via extra dimensions, solving cosmological problems and achieving correct Higgs sector relations.

Findings

Heavy gravitino achieved with extra dimensions at GUT scale

Suppressed gravity/anomaly mediation, gauge mediation dominates

Model allows proper electroweak symmetry breaking

Abstract

We propose a new framework of low-scale gauge-mediated supersymmetry (SUSY) breaking with a gravitino mass of O(100) TeV. The usual 4D gauge mediation models predict a light gravitino and suffer from cosmological problems. In our framework, a heavy gravitino in gauge mediation is realized with a flat extra-dimension, whose compactification scale is around the grand unified theory scale. Superparticle masses of the visible sector from gravity/anomaly mediation are suppressed, and they are purely generated by usual gauge mediation on the visible brane. Importantly, the Higgs Bmu-term vanishes at the leading order, which enables us to obtain the suitable mu-Bmu relation for the electroweak symmetry breaking. We discuss such models considering two possibilities of the SUSY breaking source: 1) Scherk-Schwarz SUSY breaking which we call Scherk-Schwarz Gauge Mediation and 2) gravitational SUSY breaking localized on a hidden brane. In the case 2), the cosmological moduli problem may be relaxed as well.