Exploring the CP-violating NMSSM: EDM Constraints and Phenomenology

TL;DR

This paper examines the CP-violating phases in the NMSSM, showing they can be large without conflicting with EDM constraints, and explores how to measure this CP violation through Higgs data and tau lepton observables.

Contribution

It provides a comprehensive analysis of allowed CP-violating phases in the NMSSM considering EDM and Higgs data constraints, highlighting NMSSM-specific CP violation.

Findings

Large CP-violating phases are compatible with EDM constraints.

Higgs data primarily constrains the CP-violating phases.

Potential to measure CP violation via Higgs rates and tau lepton observables.

Abstract

The Next-to-Minimal Supersymmetric extension of the Standard Model (NMSSM) features extra new sources for CP violation. In contrast to the MSSM CP violation can already occur at tree level in the Higgs sector. We investigate the range of possible allowed CP-violating phases by taking into account the constraints arising from the measurements of the Electric Dipole Moments (EDMs) and the latest LHC Higgs data. Our analysis shows that large CP-violating phases, that are NMSSM-specific, are not in conflict with the EDMs. They are dominantly constrained by the Higgs data in this case. We use our results to investigate the prospects of measuring CP violation through the combined measurement of Higgs rates, on the one hand, and in observables based on CP-violating Higgs couplings to tau leptons on the other hand.