CP violation in extended Higgs sectors

Abstract

We discuss how one can identify CP violation (and conservation) in multi-Higgs-doublet potentials. After a brief review of CP violation in the 2HDM, we refer to the fact that for NHDM with $N \geq 3$ the well known methods useful in the case $N = 2$ have not been generalized in order to provide a set of well defined necessary and sufficient conditions for CP conservation. We then present a simple method, proposed by the authors, to be used in such cases. Two non-trivial examples based on an $S_3$-symmetric three-doublet model are analyzed by means of this new method.

10 pages. Talk given at Corfu Summer Institute 2017, School and Workshops on Elementary Particle Physics and Gravity, September 2017. To appear in conference proceedings