Unitarity bounds for all symmetry-constrained 3HDMs

Abstract

Models with three Higgs doublets (3HDM) are the source of much recent activity, for they are key components of many solutions to the problems of the Standard Model; from extra sources of CP violation to Dark Matter candidates. We compute explicitly the theoretical bounds for all symmetry-constrained 3HDM arising from the perturbative unitarity of two-to-two scattering amplitudes. In addition, we propose a method based on principal minors that foregoes diagonalization and which is preferable in all models (not only 3HDM) dealing with large scattering matrices.

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Cited by in corpus (4)

• BFB conditions on a class of symmetry constrained 3HDM
• A viable $A_4$ 3HDM theory of quark mass matrices
• Assessing boundedness from below in the ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$-symmetric three-Higgs-doublet model: algorithm and machine learning
• New Tools for Dissecting the General 2HDM