Reconciling Muon g-2, 125 GeV Higgs and Dark Matter in Gauge Mediation Models
Ilia Gogoladze, Qaisar Shafi, Cem Salih Un

TL;DR
This paper proposes a gauge mediation supersymmetry breaking model with an extra U(1) symmetry acting on the third generation, successfully explaining muon g-2, Higgs mass, and dark matter relic abundance simultaneously.
Contribution
It introduces a novel gauge mediation model with a third-generation U(1) symmetry that addresses multiple experimental anomalies concurrently.
Findings
Muon g-2 anomaly can be explained within this framework.
First two generation squark and gluino masses are predicted to be below 2.5 TeV.
The model accommodates the observed 125 GeV Higgs and dark matter relic density.
Abstract
We present a class of models in the framework of gauge mediation supersymmetry breaking where the standard model is supplemented by additional U(1) symmetry which acts only on the third generation fermions. The messenger fields carry non-trivial U(1) charge and are vector-like particles under this symmetry. This leads to additional contribution to the soft supersymmetry breaking mass terms for the third generation squarks and sleptons. In this framework we show that the muon g-2 anomaly, the observed 125 GeV Higgs boson mass and the detected relic dark matter abundance (gravitino in our case) can be simultaneously accommodated. The resolution of the muon g-2 anomaly, in particular, yields the result that the first two generation squark masses, as well the gluino mass, should be <~ 2.5 TeV, which will be tested at LHC14.
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