Testing the presence of CP violation in the 2HDM

TL;DR

This paper reviews CP violation in the Two-Higgs-Doublet Model, highlighting conditions for spontaneous CP violation, describing invariants related to measurable parameters, and discussing experimental constraints from LHC data.

Contribution

It provides a comprehensive analysis of CP violation in 2HDM, including conditions for spontaneous CP violation and methods to measure CP invariants using experimental data.

Findings

Spontaneous CP violation occurs at the boundary between explicit CP violation regions.

Weak-basis invariants can be expressed through measurable couplings and masses.

LHC Higgs data constrains CP violation in the 2HDM.

Abstract

We review CP properties of the Two-Higgs-Doublet model. In particular, we show that spontaneous CP violation occurs in the parameter space on the border between regions allowing explicit CP violation and those where there is another minimum, deeper than the one corresponding to v=246 GeV. We discuss weak-basis invariants which describe CP violation and express them through measurable quantities like coupling constants and masses. Also, we discuss how CP violation is constrained by the LHC Higgs data. Finally, we identify effective operators that could be adopted to measure CP-invariants.