Impact of LHC data on muon $g-2$ solutions in vector-like extension of the Constrained MSSM

Understand

The long-standing discrepancy between the experimental determination by the Muon $g-2$ Collaboration at Brookhaven and the Standard Model predictions for the anomalous magnetic moment of the muon cannot be explained within simple unified framework like the Constrained Minimal Supersymmetric Standard Model, but it can within its extension with vector-like fermions.

• In this paper we consider a model with an additional vector-like $5+\bar{5}$ pair of $SU(5)$.
• Within this model we first identify its parameter space that is consistent with the current discrepancy and show that this implies the lighter chargino mass in the range of $700-1200$ GeV.
• We examine how it is affected by constraints from electroweak sparticle search at the LHC based on 13 TeV search with 36.1 ${fb}^{-1}$ integrated luminosity.