Heavy Squarks and Light Sleptons in Gauge Mediation ~From the viewpoint of 125 GeV Higgs Boson and Muon g-2~

TL;DR

This paper explores gauge mediation models with heavy squarks and light sleptons, aiming to explain the 125 GeV Higgs boson and muon g-2 anomaly, highlighting the role of specific messenger representations and additional Higgs mass sources.

Contribution

It identifies unique messenger representations in gauge mediation models that can produce light sleptons to account for muon g-2, considering the impact of extra Higgs soft mass sources.

Findings

Models with adjoint messenger multiplets can explain muon g-2 with light sleptons.

Additional Higgs soft mass sources enable muon g-2 explanation with fundamental messenger multiplets.

Phenomenological implications of these gauge mediation scenarios are discussed.

Abstract

In the framework of gauge mediation models, we investigate scenarios with heavy squarks and light sleptons, motivated by the recent discovery of the Higgs boson and the deviation of the muon anomalous magnetic moment (g-2) from the SM prediction. We show that only models with a messenger multiplet in the adjoint representation of SU(5) GUT gauge group are the unique possibility that sleptons are light enough to explain the muon g-2 in the minimal setup. We also show that, if there is an additional source of the Higgs soft masses, the muon g-2 can be explained with messenger multiples in the fundamental representation of SU(5) with the help of the light higgsino. Some phenomenological aspects of these models are also discussed.