Within the framework of N=1 gauged supergravity, using a phenomenological model which can be obtained locally as a Swiss-Cheese Calabi-Yau string-theoretic compactification with a mobile D3-brane localized on a nearly sLag three-cycle in the Calabi-Yau and fluxed stacks of wrapped D7-branes, and which provides a natural realization of mu-Split SUSY, we show that in addition to getting a significant value of electron/neutron EDM d_{ e,n}/e at two-loop level, one can obtain a sizable contribution of d_{ e,n}/e even at one-loop level. We obtain d_{ e}/e ~ O(10^{ -29}) cm from two-loop diagrams involving heavy sfermions and a light Higgs, and d_{ e}/e ~ O(10^{ -32}) cm from one-loop diagram involving heavy chargino and a light Higgs. Also, d_{ n}/e ~ O(10^{ -33}) cm from one-loop diagram involving SM-like quarks and Higgs. Next, by considering a Barr-Zee diagram involving W bosons and Higgs, and conjecturing that the CP-violating phase can appear from a linear combination of Higgs doublet obtained in the context of mu-split SUSY, we obtain d_{ e,n}/e ~ O(10^{ -27}) cm at two-loop level .
Categories: hep-ph hep-th