On messengers and metastability in gauge mediation

TL;DR

This paper explores how quantum corrections can stabilize the desired vacuum in gauge mediation of supersymmetry breaking, revealing conditions that influence messenger masses and collider accessibility.

Contribution

It demonstrates that quantum effects can favor the phenomenologically acceptable vacuum in gauge mediation, with implications for messenger couplings and mass scales.

Findings

Quantum corrections can promote the MSSM vacuum to the ground state.

Small messenger-goldstino couplings are necessary for vacuum stability.

Messenger and supersymmetry breaking field masses are constrained, affecting collider prospects.

Abstract

One notoriously difficult problem in perturbative gauge mediation of supersymmetry breaking via messenger fields is the generic presence of a phenomenologically unacceptable vacuum with messenger vevs, with a lower energy than the desired (MSSM) vacuum. We investigate the possibility that quantum corrections promote the latter to the ground state of the theory, and find that this is indeed feasible. For this to happen, the couplings of the messengers to the goldstino superfield must be small, and this implies an additional suppression of the MSSM soft terms with respect to the supersymmetry breaking scale. This in turns sets a lower limit on the masses of the messengers and of the supersymmetry breaking fields, which makes both sectors inaccessible at colliders. Contrary to other scenarios like direct gauge mediation, gaugino masses are unsuppressed with respect to scalar masses.