CP-safe gravity mediation and muon g - 2

Abstract

We propose a CP-safe minimal supersymmetric (SUSY) standard model in gravity mediation, 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 under the assumption that the SUSY flavorchanging neutral current problem is solved. 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 Kähler potential and the shift symmetry of a SUSYbreaking field Z. As a result of the shift symmetry, the imaginary part of Z behaves as a QCD (quantum chromodynamics) axion, leading to an intriguing possibility: the strong CP problem in QCD and the SUSY CP problem are solved simultaneously.