Prepared for submission to JHEP Measuring CP violation in Two-Higgs-Doublet models in light of the LHC Higgs data B. Grzadkowski,aO. M. Ogreid,bP. Oslandc aFaculty of Physics, University of Warsaw, Ho˙za 69, 00-681 Warsaw, Poland bBergen University College, Postboks 7030, N-5020 Bergen, Norway cDepartment of Physics, University of Bergen, Postboks 7803, N-5020 Bergen, Norway E-mail:bohdan.grzadkowski@fuw.edu.pl,omo@hib.no, Per.Osland@ift.uib.no Abstract:In Two-Higgs-Doublet models, the conditions for CP violation can be ex- pressed in terms of invariants under U(2) rotations among the two SU(2) Higgs doublet fields. In order to design a strategy for measuring the invariants we express them in terms of observables, i.e., masses and couplings of scalar bosons. We find amplitudes directly sen- sitive to the invariants. Observation of the Standard-Model-like Higgs boson at the LHC severely constrains the models. In particular, in the model withZ2symmetry imposed on dimension-4 terms (in order to eliminate tree-level flavour-changing neutral currents), CP violation is strongly suppressed. On the other hand, the most general Two-Higgs-Doublet model (withoutZ2symmetry) is compatible with the LHC data, and would still allow for CP violation to be present in the model. Consequently, also flavour-changing neutral currents would in general be expected.We briefly sketch a strategy for measuring the remaining CP violation. Keywords:Quantum field theory, Higgs Physics, CP violation arXiv:1409.7265v2 [hep-ph] 29 Nov 2014
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