# Lepton-flavor violation and two loop electroweak corrections to $(g-2)_\mu$ in the B-L symmetry SSM

## TL;DR

This paper explores lepton flavor violation and two-loop electroweak corrections to the muon anomalous magnetic moment within the B-L extended supersymmetric model, highlighting enhancements over the MSSM and the significance of higher-order corrections.

## Contribution

It provides the first detailed analysis of lepton flavor violating processes and two-loop electroweak corrections in the B-LSSM, showing their impact on experimental constraints and muon MDM predictions.

## Key findings

- Lepton flavor violating rates are increased by about an order of magnitude in B-LSSM.
- Two-loop electroweak corrections significantly affect the muon MDM in the model.
- Enhanced predictions for muon MDM align better with experimental data.

## Abstract

Charged lepton flavor violating processes are forbidden in the standard model (SM), hence the observation of charged lepton flavor transitions would represent a clear signal of new physics beyond the standard Model. In this work, we investigate some lepton flavor violating processes in the minimal supersymmetric extension of the SM with local $B-L$ gauge symmetry (B-LSSM). And including the corrections from some two loop diagrams to the anomalous dipole moments (MDM) of muon, we discuss the corresponding constraint on the relevant parameter space of the model. Considering the constraints from updated experimental data, the numerical results show that, new contributions in the B-LSSM enhance the MSSM predictions on the rates of $l_j-l_i$ transitions about one order of magnitude, and also enhance the MSSM prediction on the muon MDM. In addition, two loop electroweak corrections can make important contributions to the muon MDM in the B-LSSM.