Abstract
The minimal supersymmetric extented standard model (MSSM), is one of the most popular models beyond the standard model. But there still exits some problems in MSSM: the lightest Higgs particle in MSSM is not heavy enough to fit the current experimental result. And there is also very strong constraint on the CP phase (the μ phase) from the measurement of the electric dipole moment (EDM), which implies the CP phase at less than 103 order, the so-called SUSY CP problem. The origin of supersymmetric breaking terms is quite also a mystery. Minimal gauge mediated supersymmetry breaking (mGMSB), being one of the scenarios that can provide the soft terms, throw the mystery off to a higher energy scale, but still leaves some problems like, the μ-Bμ problem. With the dimension-five operators in Higgs sector introduced by Dine, one can lift Higgs mass as represented in Dine's paper. The new operators also come into the rotation matrices of Higgs particles and their superpartners, and make new contributions to the EDM of fermions. In this report, we calculate these new effect and see how to release the constraint on phase of μ in the presence of dimension-five operators.