Gauge Mediation Models with Adjoint Messengers
Ilia Gogoladze, Azar Mustafayev, Qaisar Shafi, Cem Salih Un

TL;DR
This paper proposes a gauge mediation supersymmetry breaking model with adjoint messenger fields and a U(1)_B-L D-term, successfully explaining the Higgs mass, slepton masses, dark matter, and collider accessibility.
Contribution
It introduces a novel gauge mediation model with adjoint messengers and a U(1)_B-L D-term to address slepton mass issues and accommodate the 125 GeV Higgs.
Findings
Right-handed sleptons are compatible with experimental bounds.
Higgs mass of 125 GeV is achievable within the model.
Sleptons accessible at the LHC, squarks and gluinos in multi-TeV range.
Abstract
We present a class of models in the framework of gauge mediation supersymmetry breaking where the messenger fields transform in the adjoint representation of the Standard Model gauge symmetry. To avoid unacceptably light right-handed sleptons in the spectrum we introduce a non-zero U(1)_B-L D-term. This leads to an additional contribution to the soft supersymmetry breaking mass terms which makes the right-handed slepton masses compatible with the current experimental bounds. We show that in this framework the observed 125 GeV Higgs boson mass can be accommodated with the sleptons accessible at the LHC, while the squarks and gluinos lie in the multi-TeV range. We also discuss the issue of the fine-tuning and show that the desired relic dark matter abundance can also be accommodated.
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