CP Violation By Soft Supersymmetry Breaking Terms in Orbifold Compactifications

TL;DR

This paper explores how CP violation can occur spontaneously through orbifold moduli in string compactifications, focusing on the impact of stabilization mechanisms and non-perturbative superpotentials on CP-violating phases in soft supersymmetry breaking terms.

Contribution

It analyzes the influence of different moduli stabilization methods and non-perturbative superpotentials, including F-theory inspired models, on CP violation in supersymmetric theories.

Findings

CP-violating phases depend on stabilization mechanisms.

Non-perturbative superpotentials can induce sizable CP phases.

F-theory compactifications may lead to observable CP violation.

Abstract

The possibility of spontaneous breaking of CP symmetry by the expectation values of orbifold moduli is investigated with particular reference to $CP$ violating phases in soft supersymmetry breaking terms. The effect of different mechanisms for stabilizing the dilaton and the form of the non-perturbative superpotential on the existence and size of these phases is studied. Non-perturbative superpotentials involving the absolute modular invariant $j(T)$, such as may arise from F-theory compactifications, are considered.