THE SUPERSYMMETRIC TWO-LOOP CORRECTIONS TO MUON MAGNETIC DIPOLE MOMENTS IN THE CP-VIOLATING MSSM

Using the effective Lagrangian method, we study the electroweak corrections to the magnetic dipole moment of muon from some special two-loop topological diagrams which are composed of chargino-sneutrino, neutralino-slepton, slepton-sneutrino, in the CP-violating minimal supersymmetric extension of the standard model. Considering the electromagnetic gauge invariance, we obtain the Wilson coefficients of those dimension 6 operators which induce the magnetic dipole moment of leptons. Adopting the zero-momentum substraction scheme, we remove the ultra-violet divergences induced by the divergent sub-diagrams. The numerical results indicate that the two-loop supersymmetric corrections from this sector to the muon magnetic dipole moment can exceed 10(-10), which is the same order of present experimental precision.