CP-safe Gravity Mediation and Muon g-2

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 Kähler 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.

23 pages, 2 figures; v2 with additional explanations

References in corpus (6)

• Searches for electroweak production of charginos, neutralinos, and sleptons decaying to leptons and W, Z, and Higgs bosons in pp collisions at 8 TeV
• Improved predictions for g-2 of the muon and α_{\rm QED}(M_Z^2)
• Status of the Fermilab Muon (g-2) Experiment
• Search for anomalous production of events with three or more leptons in pp collisions at sqrt(s) = 8 TeV
• Search for supersymmetry in events with four or more leptons in $\sqrt{s}$ = 8 TeV pp collisions with the ATLAS detector
• Gravitational Supersymmetry Breaking