Tree Level Metastability and Gauge Mediation in Baryon Deformed SQCD

TL;DR

This paper explores a baryon-deformed supersymmetric QCD model with metastable vacua, demonstrating its potential for gauge mediation, resulting in comparable gaugino and sfermion masses, and highlighting its testability at TeV scales.

Contribution

It introduces a baryon-deformed SU(2) SQCD model with metastable vacua suitable for gauge mediation, addressing Landau pole issues and linking scales from the weak to GUT or Planck.

Findings

Existence of a metastable uplifted vacuum at the origin.

Gaugino masses comparable to sfermion masses with an effective messenger number 1/8.

Model free from Landau pole problems and testable at TeV energies.

Abstract

We investigate supersymmetric QCD with gauge group SU(2) and a baryon deformation to the superpotential. The existence of an uplifted vacuum at the origin with tree level metastability is demonstrated. When this model is implemented in a direct gauge mediation scenario we therefore find gaugino masses which are comparable to sfermion masses and parameterised by an effective number of messengers 1/8. All deformations are well motivated by appealing to the electric theory and an R-symmetry. This R-symmetry is explicitly broken by the same term responsible for supersymmetry breaking. Moreover, the model does not suffer from the Landau pole problem and we find that it can be described in terms of just two scales: the weak scale and a high scale like the Planck or GUT scale. The model can be tested by searching for new particles at the TeV scale charged under the visible sector gauge group.