Abstract
The experimental data of the magnetic dipole moment(MDM) of lepton(e, mu ) 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 M_{SH} and M with M_{SH}gg M for supersymmetric particles. Squarks belong to M_{SH} and the other supersymmetric particles belong to M. 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.
Highlights
With the detection of the 125 GeV Higgs boson [1,2], the standard model (SM) achieves great success
It is well known to all that, there are a lot of two loop diagrams [25,26] contributing to muon magnetic dipole moment (MDM) in SUSY models
To denote the two loop diagrams economically, we show our notation for two loop self-energy diagram in the generic form
Summary
With the detection of the 125 GeV Higgs boson [1,2], the standard model (SM) achieves great success. For the magnetic dipole moment (MDM) [7,8,9] of lepton especially muon, the two loop corrections from SUSY particles are important. In SUSY models, there are many SUSY particles that correct muon MDM through loop diagrams. As discussed in the works [14,15,16,17], the two loop SUSY diagrams can contribute importantly to muon MDM. [23] give detailed results for the two loop corrections to the muon MDM from fermion/sfermion loops in the MSSM. It is well known to all that, there are a lot of two loop diagrams [25,26] contributing to muon MDM in SUSY models. We discuss the factors and compare their size
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