Vacuum Stability Bound on Extended GMSB Models

TL;DR

This paper investigates how extended GMSB models, including large trilinear couplings and extra vector-like matter, impact vacuum stability and gluino mass bounds, with implications for LHC searches.

Contribution

It provides a detailed analysis of vacuum stability constraints in extended GMSB models and their effects on gluino mass bounds, incorporating recent Higgs mass reports.

Findings

Vacuum stability imposes upper bounds on gluino mass in these models.

LHC at 14 TeV can probe the entire parameter space.

Analysis extends to mSUGRA models with vector-like matter.

Abstract

Extensions of GMSB models were explored to explain the recent reports of the Higgs boson mass around 124-126 GeV. Some models predict a large mu term, which can spoil the vacuum stability of the universe. We study two GMSB extensions: i) the model with a large trilinear coupling of the top squark, and ii) that with extra vector-like matters. In both models, the vacuum stability condition provides upper bounds on the gluino mass if combined with the muon g-2. The whole parameter region is expected to be covered by LHC at sqrt{s} = 14 TeV. The analysis is also applied to the mSUGRA models with the vector-like matters.