Two-loop corrections to $(g-2)_\mu$ in the SM and the MSSM

Abstract

Recent results of two-loop contributions to the muon (g-2) in the Standard Model and its supersymmetric extension are presented. In the SM the EW contributions are fixed according to the Higgs boson mass measured at LHC. In the MSSM we present the recent result of fermion/sfermion two-loop contributions. The fermion/sfermion contributions are logarithmically enhanced for large sfermion masses and can yield the largest corrections compared to all previously known MSSM two-loop contributions. Numerical results in scenarios which are compatible with LHC data are also presented. We find up to 15\% (30\%) corrections for sfermion masses in the 20 TeV (1000 TeV) range.