CP Violation, Stability and Unitarity of the Two Higgs Doublet Model

Details CP Violation, Stability and Unitarity of the Two Higgs Doublet Model CP Violation, Stability and Unitarity of the Two Higgs Doublet Model

2007-02-09

arxiv.org/abs/hep-ph/0702097v1

Nonlin.Phenom.ComplexSyst.10:347-357,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, Contribution to "FANS2006", to be published in " Nonlinear Phenomena in Complex Systems"

Scientific paper

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 tanbeta, 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 tanbeta lsim 1, 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 tanbeta gg 1. However, here the model is more constrained: Significant CP violation is correlated with a considerable splitting among the two heavier Higgs bosons.

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