Abstract

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, 3M 2 + 2M 3 = 5M 1, which represents a smoking gun of this scenario, together with the known tree- level sfermion mass ratio $ {{\widetilde{m}}_{{{d^c},l}}}=\sqrt{2}{{\widetilde{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 μ-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.

Highlights

  • The aim of this paper is to spell out the LHC phenomenology of a simple, unified realization of the tree-level gauge mediation (TGM) supersymmetry breaking scheme [1, 2]

  • This is not the case in unified TGM, where the MSSM fields and the minimal gauge mediation messengers lie in the same SO(10) multiplets, so that the messenger-messengerZ coupling generating gaugino masses are accompanied by matter-messenger-Z couplings generating non-vanishing A-terms at the messenger scale

  • A full review of all the analyses presented by ATLAS and CMS and their implications on TGM goes beyond the scope of this paper

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Summary

Introduction

The aim of this paper is to spell out the LHC phenomenology of a simple, unified realization of the tree-level gauge mediation (TGM) supersymmetry breaking scheme [1, 2]. The corresponding vector field V acquires a mass MV = gM , where, g is the U(1) gauge coupling If both the observable superfield f and the supersymmetry breaking field Z, Z = F θ2, are charged under U(1), V plays the role of the supersymmetry breaking messenger, as in figure 1. It is tempting to consider U(1) as part of a grand unified group G ⊃ GSM × U(1) In this case the U(1)-breaking scale M is expected to be near the GUT scale, M ∼ MGUT. The minimal choice is interesting, as it gives rise to definite, peculiar predictions for the sfermion mass ratios. In this case, the U(1) mediating supersymmetry breaking is associated to a well defined SO(10) generator. We study the LHC phenomenology of such a minimal unified setup, taking into account some notable theoretical subtleties which turn out to relate the gaugino mass ratios to the flavour structure of the SM fermions

Field content and lagrangian
The parameters of the model
Heavy chiral messengers and marginal parameters
Gaugino masses in greater detail
Trilinear terms
Two loop level contributions to sfermion masses
Allowed ranges of θu and θd
A 125 GeV Higgs
Three benchmark points
Bino NLSP benchmark point
Wino NLSP benchmark point
Stau NLSP benchmark point
TGM phenomenology at the LHC
Analysis of the benchmark points
Summary and conclusions
A Flavour structure of the superpotential
Yukawa couplings
Soft scalar masses
Findings
Approximate analytical running of Higgs mass parameters
Full Text
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