The two loop supersymmetric corrections to lepton anomalous dipole moments in split supersymmetry scenarios

TL;DR

This paper calculates two-loop electroweak corrections to lepton anomalous dipole moments in split supersymmetry, revealing potential observable effects on muon and electron dipole moments in future experiments.

Contribution

It provides a detailed calculation of two-loop supersymmetric corrections to lepton dipole moments, including all relevant operators and their coefficients in split SUSY scenarios.

Findings

Parameter space where muon g-2 contribution is significant

Electron EDM contribution could be observed in future experiments

All relevant dimension 6 operators identified and computed

Abstract

An analysis of electroweak corrections to the anomalous dipole moments of lepton from some special two-loop diagrams where a closed neutralino/chargino loop is inserted into relevant one-loop diagrams of the standard model is presented in the split supersymmetry scenarios. Considering the translational invariance of the inner loop momenta and the electromagnetic gauge invariance, we get all dimension 6 operators and their coefficients. After applying equations of motion to the external leptons, we obtain the anomalous dipole moments of lepton. The numerical results imply that there is parameter space where the contribution to the muon anomalous magnetic dipole moment from this sector is perhaps significant, and the contribution to the electron electric dipole moment from this sector is sizable enough to be observed in next generation experiments.