Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-07-23
Eur.Phys.J.C57:719-738,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
19 pages, minor additions, minor typos corrected, results unchanged
Scientific paper
10.1140/epjc/s10052-008-0712-5
We discuss the CP properties of the potential in the general Two-Higgs-Doublet Model (THDM). This is done in a concise way using real gauge invariant functions built from the scalar products of the doublet fields. The space of these invariant functions, parametrising the gauge orbits of the Higgs fields, is isomorphic to the forward light cone and its interior. CP transformations are shown to correspond to reflections in the space of the gauge invariant functions. We consider CP transformations where no mixing of the Higgs doublets is taken into account as well as the general case where the Higgs basis is not fixed. We present basis independent conditions for explicit CP violation which may be checked easily for any THDM potential. Conditions for spontaneous CP violation, that is CP violation through the vacuum expectation values of the Higgs fields, are also derived in a basis independent way.
Maniatis Markos
Manteuffel Andreas von
Nachtmann Otto
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