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

TL;DR

This paper demonstrates that in a specific string-inspired supersymmetric model, electron and neutron electric dipole moments can be significant at both one- and two-loop levels, with potential observable implications.

Contribution

It introduces a string-theoretic realization of mu-split SUSY that predicts measurable electron and neutron EDMs at different loop levels.

Findings

Electron EDM ~ 10^{-29} cm from two-loop diagrams.

Electron EDM ~ 10^{-32} cm from one-loop diagrams.

Neutron EDM ~ 10^{-33} cm from one-loop diagrams.

Abstract

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 .