A Geometric Approach to CP Violation: Applications to the MCPMFV SUSY Model

TL;DR

This paper introduces a geometric method to analyze CP violation constraints in the MCPMFV MSSM, enabling the estimation of maximal CP-violating observables considering experimental EDM limits and phase cancellations.

Contribution

It develops a novel geometric approach using small-phase approximation to determine upper bounds on CP-violating observables in supersymmetric models.

Findings

Upper limits on deuteron and muon EDMs.

Constraints on CP asymmetry in b --> s gamma decay.

Bounds on B_s mixing phase.

Abstract

We analyze the constraints imposed by experimental upper limits on electric dipole moments (EDMs) within the Maximally CP- and Minimally Flavour-Violating (MCPMFV) version of the MSSM. Since the MCPMFV scenario has 6 non-standard CP-violating phases, in addition to the CP-odd QCD vacuum phase \theta_QCD, cancellations may occur among the CP-violating contributions to the three measured EDMs, those of the Thallium, neutron and Mercury, leaving open the possibility of relatively large values of the other CP-violating observables. We develop a novel geometric method that uses the small-phase approximation as a starting point, takes the existing EDM constraints into account, and enables us to find maximal values of other CP-violating observables, such as the EDMs of the Deuteron and muon, the CP-violating asymmetry in b --> s \gamma decay, and the B_s mixing phase. We apply this geometric method to provide upper limits on these observables within specific benchmark supersymmetric scenarios, including extensions that allow for a non-zero \theta_QCD.