Eur. Phys. J. C (2013) 73: 2416
https://doi.org/10.1140/epjc/s10052-013-2416-8

Regular Article - Theoretical Physics

Geometrical CP violation in the N-Higgs-doublet model

¹ IFPA, Université de Liège, Allée du 6 Août 17, bâtiment B5a, 4000, Liège, Belgium
² Sobolev Institute of Mathematics, Koptyug avenue 4, 630090, Novosibirsk, Russia
³ CFTP, Instituto Superior Técnico, Universidade Técnica de Lisboa, 1049-001, Lisboa, Portugal

^* e-mail: igor.ivanov@ulg.ac.be

Received: 22 February 2013
Revised: 25 March 2013
Published online: 27 April 2013

Abstract

Geometrical CP violation is a particular type of spontaneous CP violation in which the vacuum expectation values have phases which are calculable, i.e. stable against the variation of the free parameters of the scalar potential. Although originally suggested within a specific version of the three-Higgs-doublet model, it is a generic phenomenon. We investigate its viability and characteristic features in models with several Higgs doublets. Our work contains both general results and illustrative examples.