Focus Point Gauge Mediation without a Severe Fine-tuning

TL;DR

This paper presents a focus point gauge mediation model within the next-to-minimal supersymmetric standard model that significantly reduces fine-tuning for electroweak symmetry breaking, compatible with LHC constraints.

Contribution

It introduces a novel gauge mediation framework with an adjoint messenger field and a heavy octet, achieving lower fine-tuning without conflicting with experimental data.

Findings

Fine-tuning measure Δ as low as 40-50

Model consistent with LHC constraints

Simple ultraviolet completion provided

Abstract

We consider focus point gauge mediation within the framework of the next-to-minimal supersymmetric standard model, which substantially reduces the degree of fine-tuning for the electroweak symmetry breaking. The milder fine-tuning is realized by a messenger field in the adjoint representation of $SU(5)$ gauge group with $SU(3)_c$ octet being heavy. Our model has a simple ultraviolet completion. The fine-tuning measure $\Delta$ can be as small as 40-50 without any contradiction with LHC constraints.