CP-safe Gravity Mediation and Muon g-2

TL;DR

This paper introduces a CP-safe gravity mediation model with aligned phases, allowing low-energy SUSY scenarios and potentially solving both the SUSY and strong CP problems, while explaining the muon g-2 anomaly.

Contribution

It proposes a novel CP-safe gravity mediation framework with aligned phases, linking SUSY breaking assumptions to solutions for CP and strong CP problems, and addressing muon g-2.

Findings

Phases of Higgs B, trilinear couplings, and gaugino masses are aligned.

Imaginary part of SUSY breaking field Z acts as a QCD axion.

Model explains muon g-2 anomaly within a CP-safe SUSY scenario.

Abstract

We propose a CP-safe gravity mediation model, where the phases of the Higgs B parameter, scalar trilinear couplings and gaugino mass parameters are all aligned. Since all dangerous CP violating phases are suppressed, we are now safe to consider low-energy SUSY scenarios. As an application, we consider a gravity mediation model explaining the observed muon $g-2$ anomaly. The CP-safe property originates in two simple assumptions: SUSY breaking in the K\"ahler potential and a shift symmetry of a SUSY breaking field $Z$. As a result of the shift symmetry, the imaginary part of $Z$ behaves as a QCD axion, leading to an intriguing possibility: the strong CP problem in QCD and the SUSY CP problem are solved simultaneously.