The order analysis for the two loop corrections to lepton MDM

preprint2020arXivOpen access

Abstract

The experimental data of the magnetic dipole moment(MDM) of lepton(ee, μμ) is very exact. The deviation between the experimental data and the standard model prediction maybe come from new physics contribution. In the supersymmetric models, there are very many two loop diagrams contributing to the lepton MDM. In supersymmetric models, we suppose two mass scales MSHM_{SH} and MM with MSH≫MM_{SH}\gg M for supersymmetric particles. Squarks belong to MSHM_{SH} and the other supersymmetric particles belong to MM. We analyze the order of the contributions from the two loop diagrams. The two loop triangle diagrams corresponding to the two loop self-energy diagram satisfy Ward-identity, and their contributions possess particular factors. This work can help to distinguish the important two loop diagrams giving corrections to lepton MDM.

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