Phenomenology of Minimal Unified Tree Level Gauge Mediation at the LHC

TL;DR

This paper explores the collider signatures of a minimal unified Tree-level Gauge Mediation model in supersymmetry, highlighting unique gaugino mass relations, benchmark scenarios, and potential LHC signals, including Razor variable analyses.

Contribution

It introduces a minimal unified framework for Tree-level Gauge Mediation with distinctive gaugino mass sum rules and benchmark points for LHC phenomenology.

Findings

Identified a gaugino mass sum rule at the GUT scale, 3 M_2 + 2 M_3 = 5 M_1.

Defined three benchmark points with different NLSP candidates.

Analyzed LHC signatures focusing on the Razor variable.

Abstract

We study the collider phenomenology of the minimal unified version of the supersymmetry breaking scheme called Tree-level Gauge Mediation. We identify a peculiar source of gaugino mass non-universality related to the necessary SU(5)-breaking in the light fermion mass ratios and a gaugino mass sum rule at the GUT scale, 3 M_2 + 2 M_3 = 5 M_1, which represents a smoking gun of this scenario, together with the known tree-level sfermion mass ratio \tilde m_{d^c,l} = \sqrt{2} \tilde m_{q,u^c,e^c}. The boundary conditions of the soft SUSY breaking terms can be parameterised in terms of six relevant parameters only (plus the sign of the \mu-parameter). We analyze the parameter space and define three benchmark points, corresponding to the three possible NLSPs, a bino- or wino-like neutralino or the stau. The LSP is the gravitino as in gauge mediation. For these benchmark points we show possible signatures at the LHC focusing on the Razor variable. We also comment on the Higgs mass.