Enhanced Diphoton Signal of the Higgs Boson and the Muon g-2 in Gauge Mediation Models

TL;DR

This paper explores how gauge mediation models with specific extensions can simultaneously explain the 125 GeV Higgs mass, muon g-2 results, and predict an enhanced diphoton signal, with about 40% increase over the Standard Model.

Contribution

It introduces two extensions to gauge mediation models that induce large stau mixing, leading to enhanced Higgs diphoton decay rates while satisfying Higgs mass and muon g-2 constraints.

Findings

Diphoton decay rate can be about 40% larger than Standard Model.

Large left-right stau mixing is achievable in extended models.

Constraints from charge breaking minima are significant but manageable.

Abstract

We study the diphoton signal of the Higgs boson in gauge mediated supersymmetry breaking models, which can explain both the Higgs boson mass of around 125 GeV and the result of the muon g-2 experiment. We consider two possible extensions of gauge mediation models: inclusion of vector-like matters, and a mixing between a messenger and the up-type Higgs. The large left-right mixing of staus is induced in both scenarios, resulting in the enhanced diphoton signal. We include a constraint from a charge breaking minimum, which is severe for the large left-right mixing of staus. The branching fraction of h to gamma gamma can be about 40 percent larger than that of the Standard Model Higgs boson, in the region of parameter space where the Higgs boson mass of around 125 GeV and the muon g-2 are explained.