An extended gauge mediation for muon $(g-2)$ explanation

TL;DR

This paper introduces an extended gauge mediation model with new Higgs sector soft masses, successfully explaining the muon g-2 discrepancy while satisfying all experimental constraints and predicting detectable signals at the LHC.

Contribution

It proposes a minimal gauge mediation extension with new Higgs soft masses to reconcile muon g-2 with other constraints, including a possible dynamical origin.

Findings

Successfully explains muon g-2 discrepancy

Predicts light wino and higgsino below 500 GeV at LHC

Avoids all current experimental constraints

Abstract

It is increasingly becoming difficult, within a broad class of supersymmetric models, to satisfactorily explain the discrepancy between the measured $(g-2)_\mu$ and its standard model prediction, and at the same time satisfy all the other constraints. In this paper we propose a new scheme of gauge mediation by introducing new soft supersymmetry breaking mass parameters for the Higgs sector in a minimal setup containing only a pair of $({\bf 5} + \bar{\bf 5})$ messenger fields of SU(5). This enables us to explain the $(g-2)_\mu$ discrepancy while avoiding all the existing constraints. We also provide possible dynamical origin of the new soft mass parameters. The wino and higgsino weighing below 500 GeV constitute the smoking gun signal at the (high luminosity) LHC.