Abstract

We discuss the prospects for observing CP violation in the MSSM with six CP-violating phases, using a geometric approach to maximise CP-violating observables subject to the experimental upper bounds on electric dipole moments. We consider constraints from Higgs physics, flavour physics, the dark matter relic density and spin-independent scattering cross section with matter.

Highlights

  • In the minimal supersymmetric extension of the Standard Model (MSSM), there are possibilities of having new sources of CP violation beyond the Cabibbo Kobayashi Maskawa (CKM) phase

  • We focus on the CP-conserving CMSSM best-fit point found in a global analysis [20]: Figure 1: Number of CMSSM points allowed by the electric dipole moment (EDM) constraints, starting from a flat distribution, as a function of the phases

  • We have explored the effects of CP violation in the MSSM using an iterative geometrical approach within the maximally CP-violating, minimal flavour-violating framework with 6 CP-violating phases, applying constraints from the Higgs mass and signal strengths, flavour physics, dark matter relic density and scattering cross section with matter

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Summary

Introduction

In the minimal supersymmetric extension of the Standard Model (MSSM), there are possibilities of having new sources of CP violation beyond the Cabibbo Kobayashi Maskawa (CKM) phase. Experimental constraints in particular from the measurements of electric dipole moments (EDMs, see Tab. 1) limit strongly the values of the additional phases. Brute force to sample randomly the values of the phases imposing all the experimental constraints (from Higgs, flavour physics, dark matter and EDMs) appears to be inefficient and one would need an optimised procedure such as a geometric approach [1, 2]. We study signatures of CP violation considering the lightest neutral Higgs boson to be. The observed one and the lightest supersymmetric particle to be the lightest neutralino, and study in particular the CP asymmetry in b → sγ, Bs meson mixing ∆MBs , and CP-violating couplings of the heavier neutral Higgs bosons in several representative MSSM scenarios. Extended discussions can be found in [2]

Methodology
Constraints in the CMSSM
Constraints in the pMSSM
Higgs sector
Flavour sector
Findings
Conclusion
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