Muon g-2 through a flavor structure on soft SUSY terms

TL;DR

This paper explores how a hierarchical flavor structure in the soft SUSY terms of the MSSM can explain the muon g-2 anomaly by analyzing lepton flavor violation processes and their impact on supersymmetric contributions.

Contribution

It introduces a flavor extended MSSM with hierarchical trilinear scalar terms, providing analytical results for slepton mass matrices and calculating flavor violating contributions to muon g-2.

Findings

Regions where muon g-2 discrepancy is fully explained.

Identification of parameter space where flavor violation reduces g-2 tension.

Non-universal slepton masses and leptonic flavor mixing are possible.

Abstract

In this work we analyze the possibility to explain the muon anomalous magnetic moment discrepancy within theory and experiment through lepton flavor violation processes. We propose a flavor extended MSSM by considering a hierarchical family structure for the trilinear scalar Soft-Supersymmetric terms of the Lagranagian, present at the SUSY breaking scale. We obtain analytical results for the rotation mass matrix, with the consequence of having non-universal slepton masses and the possibility of leptonic flavour mixing. The one-loop supersymmetric contributions to the leptonic flavour violating process $\tau \to \mu\gamma$ are calculated in the physical basis, with slepton flavour mixed states, instead of using the well known Mass Insertion Method. We present the regions in parameter space where the muon g-2 problem is either entirely solved or partially reduced through the contribution of these flavor violating processes.