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Within the framework of N=1 gauged supergravity, using a phenomenologicalmodel which can be obtained locally as a Swiss-Cheese Calabi-Yaustring-theoretic compactification with a mobile D3-brane localized on a nearlysLag three-cycle in the Calabi-Yau and fluxed stacks of wrapped D7-branes, andwhich provides a natural realization of mu-Split SUSY, we show that in additionto getting a significant value of electron/neutron EDM d_{e,n}/e at two-looplevel, one can obtain a sizable contribution of d_{e,n}/e even at one-looplevel. We obtain d_{e}/e ~ O(10^{-29}) cm from two-loop diagrams involvingheavy sfermions and a light Higgs, and d_{e}/e ~ O(10^{-32}) cm from one-loopdiagram 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, byconsidering a Barr-Zee diagram involving W bosons and Higgs, and conjecturingthat the CP-violating phase can appear from a linear combination of Higgsdoublet obtained in the context of mu-split SUSY, we obtain d_{e,n}/e ~O(10^{-27}) cm at two-loop level .

A Healthy Electron/Neutron EDM in D3/D7 mu-Split-Like SUSY