Breaking CP and supersymmetry with orbifold moduli dynamics

TL;DR

This paper investigates string moduli stabilization and supersymmetry-breaking in heterotic orbifolds, deriving new formulae for soft terms and analyzing potential minima with implications for CP violation.

Contribution

It provides novel formulae for scalar soft terms without hidden sector integration and studies the scalar potential minima in moduli stabilization.

Findings

Derived soft terms formulas without hidden sector integration

Identified minima of the scalar potential in moduli space

Discussed implications for CP violation phenomenology

Abstract

We consider the stabilization of string moduli and resulting soft supersymmetry-breaking terms in heterotic string orbifolds. Among the results obtained are: formulae for the scalar interaction soft terms without integrating out the hidden sector gaugino condensate, which reduce to standard expressions in the usual "truncated" limit; an expression for the modular transformation of A-terms; a study of the minima of the scalar potential in the Kaehler modulus direction; and a discussion of the implications for CP violation phenomenology. Some closely related results have appeared in a recent paper of Khalil, Lebedev and Morris, namely the exact modular invariance of A-terms up to unitary mixing, and the existence of certain complex minima for the moduli.