CP-violating Phases in M-theory and Implications for EDMs

TL;DR

This paper shows that in certain M-theory compactifications, CP-violating phases are limited to Yukawa interactions, leading to EDM predictions within current experimental bounds and offering testable implications for future experiments.

Contribution

It identifies a natural suppression mechanism for CP violation in M-theory compactifications, linking soft-breaking phases to Yukawa matrices and providing concrete EDM bounds.

Findings

EDMs are within current experimental limits.

CP violation arises mainly from Yukawa interactions.

Predicted EDMs could be tested in upcoming experiments.

Abstract

We demonstrate that in effective theories arising from a class of N=1 fluxless compactifications of M-theory on a G2 manifold with low energy supersymmetry, CP-violating phases do not appear in the soft-breaking Lagrangian except via the Yukawas appearing in the trilinear parameters. Such a mechanism may be present in other string compactifications as well; we describe properties sufficient for this to occur. CP violation is generated via the Yukawas since the soft trilinear matrices are generically not proportional to the Yukawa matrices. Within the framework considered, the estimated theoretical upper bounds for electric dipole moments (EDM) of the electron, neutron and mercury are all within the current experimental limits and could be probed in the near future.