An Interdisciplinary Journal

2007, Vol.10, No.4, pp.347-357

CP Violation, Stability, and Unitarity of the Two Higgs Doublet Model.
Abdul Wahab El Kaffas, Odd Magne Ogreid, and Per Osland

The Two-Higgs-Doublet Model is considered, in its CP-non-conserving version. It is shown quantitatively how vacuum stability and tree-level unitarity in the Higgs-Higgs-scattering sector constrain the parameter space of the model. In particular, at high values of tan , the model violates unitarity, unless some of the Higgs bosons are heavy. In the regime of large CP violation in the neutral-Higgs-t-quark sector, which requires tan , the Yukawa coupling parameter space (determined by the neutral-Higgs-sector rotation matrix) is reasonably unconstrained. On the other hand, the corresponding neutral-Higgs-b-quark sector allows for large CP violation at tan . However, here the model is more constrained: Significant CP violation is correlated with a considerable splitting among the two heavier Higgs bosons.
Key words: vacuum stability, two-Higgs-doublet model, CP violation, unitarity

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