Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-06-23
Phys.Rev. D72 (2005) 095002
Physics
High Energy Physics
High Energy Physics - Phenomenology
46 pages, minor typographical errors corrected, accepted for publication in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.72.095002
The most general Higgs potential of the two-Higgs-doublet model (2HDM) contains three squared-mass parameters and seven quartic self-coupling parameters. Among these, one squared-mass parameter and three quartic coupling parameters are potentially complex. The Higgs potential explicitly violates CP symmetry if and only if no choice of basis exists in the two-dimensional Higgs ``flavor'' space in which all the Higgs potential parameters are real. We exhibit four independent potentially complex invariant (basis-independent) combinations of mass and coupling parameters and show that the reality of all four invariants provides the necessary and sufficient conditions for an explicitly CP-conserving 2HDM scalar potential. Additional potentially complex invariants can be constructed that depend on the Higgs field vacuum expectation values (vevs). We demonstrate how these can be used together with the vev-independent invariants to distinguish between explicit and spontaneous CP-violation in the Higgs sector.
Gunion John F.
Haber Howard E.
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