# Muon g-2 and related phenomenology in constrained vector-like extensions of the MSSM

## TL;DR

This paper explores minimal supersymmetric models with vector-like matter extensions that can explain the muon g-2 anomaly while remaining consistent with current experimental constraints and predicting observable LHC signatures.

## Contribution

It introduces two constrained MSSM extensions with vector-like 5-plets and 10-plets, demonstrating their viability in explaining muon g-2 and satisfying unification and experimental bounds.

## Key findings

- Muon g-2 anomaly can be explained in these models.
- Parameter space for 5-plet model is accessible at the LHC.
- Models satisfy electroweak, flavor, and LHC constraints.

## Abstract

We analyze two minimal supersymmetric constrained models with low-energy vector-like matter preserving gauge coupling unification. In one we add to the MSSM spectrum a pair of 5-plets of SU(5), in the other a pair of 10-plets. We show that the muon g-2 anomaly can be explained in these models while retaining perturbativity up to the unification scale, satisfying electroweak and flavor precision tests and current LHC data. We examine also some related phenomenological features of the models, including Higgs mass, fine-tuning, dark matter and several LHC signatures. We stress that, at least for the 5-plet model, the parameter space consistent with g-2 is entirely in reach of the LHC with a moderate increase in luminosity with respect the current data set.