No strong $CP$ violation up to the one-loop level in a two-Higgs-doublet model

Abstract

We put forward a two-Higgs-doublet model, furnished with a $Z_3$ symmetry, wherein $CP$ is conserved in the dimension-four terms of the Lagrangian and is softly broken in the scalar potential. The new particles of our model are one neutral scalar $H$, one neutral pseudoscalar $A$, and two charged scalars $H^{\pm }$. In our model the only locus of $CP$ violation is the CKM matrix. Strong $CP$ violation is absent both at the tree and one-loop levels. We work out the phenomenological constraints on our model, which features flavour-changing neutral Yukawa interactions, showing that the new scalar particles may in some cases be lighter than 500\,GeV.

29 pages, 6 figures

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Cited by in corpus (4)

• Strong CP and Flavor in Multi-Higgs Theories
• Minimal U(1) two-Higgs-doublet models for quark and lepton flavour
• Constraining the CP4-invariant three-Higgs-doublet model via top quark decays
• A three Higgs doublet model with symmetry-suppressed flavour changing neutral currents