Relaxing a constraint on the number of messengers in a low-scale gauge mediation

TL;DR

This paper introduces a mechanism to relax messenger number constraints in low-scale gauge mediation, avoiding Landau pole issues by leveraging large anomalous dimensions from high-energy conformal field theory.

Contribution

It presents a novel approach using conformal field theory to modify messenger contributions, enabling more flexible low-scale gauge mediation models.

Findings

Circumvents Landau pole problem in low-scale gauge mediation.

Uses large Yukawa couplings to induce positive anomalous dimensions.

Reduces messenger contribution to gauge coupling beta functions.

Abstract

We propose a mechanism for relaxing a constraint on the number of messengers in low-scale gauge mediation models. The Landau pole problem for the standard-model gauge coupling constants in the low-scale gauge mediation can be circumvented by using our mechanism. An essential ingredient is a large positive anomalous dimension of messenger fields given by a large Yukawa coupling in a conformal field theory at high energies. The positive anomalous dimension reduces the contribution of the messengers to the beta function of the standard-model gauge couplings.