Alignment, reverse alignment, and wrong sign Yukawa couplings in two Higgs doublet models

preprint2016arXivOpen access

Abstract

We consider two Higgs doublet models with a softly broken U(1) symmetry, for various limiting values of the scalar mixing angles αα and ββ. These correspond to the Standard Model Higgs particle being the lighter CP-even scalar (alignment) or the heavier CP-even scalar (reverse alignment), and also the limit in which some of the Yukawa couplings of this particle are of the opposite sign from the vector boson couplings (wrong sign). In these limits we impose a criterion for naturalness by demanding that quadratic divergences cancel at one loop. We plot the allowed masses of the remaining physical scalars based on naturalness, stability, perturbative unitarity and constraints coming from the ρρ parameter. We also calculate the h→γγh\to γγ decay rate in the wrong sign limit.

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