Dynamical relaxation of the CP phases in next-to-minimal supersymmetry

TL;DR

This paper explores how dynamical CP phases in a next-to-minimal supersymmetric model can relax to values that allow observable CP violation while addressing the strong CP problem and avoiding domain wall issues.

Contribution

It demonstrates that promoting CP phases to dynamical fields can solve the $1$ and strong CP problems simultaneously within a supersymmetric framework.

Findings

Relaxation of CP phases depends on short-distance physics.

CP phases may not relax to CP-conserving points.

Nonminimal flavor structures are needed for observable CP violation and domain wall avoidance.

Abstract

After promoting the phases of the soft masses to dynamical fields corresponding to Goldstone bosons of spontaneously broken global symmetries in the supersymmetry breaking sector, the next-to-minimal supersymmetric model is found to solve the $\mu$ problem and the strong CP problem simultaneously with an invisible axion. The domain wall problem persists in the form of axionic domain formation. Relaxation dynamics of the physical CP-violating phases is determined only by the short-distance physics and their relaxation values are not necessarily close to the CP-conserving points. Having observable supersymmetric CP violation and avoiding the axionic domain walls both require nonminimal flavor structures.