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.

References in corpus (8)

• Minkowski space structure of the Higgs potential in 2HDM: II. Minima, symmetries, and topology
• Symmetry breaking patterns in 3HDM
• Multi-Higgs doublet models: physical parametrization, sum rules and unitarity bounds
• Stability and symmetry breaking in the general three-Higgs-doublet model
• Constraints on Parameter Space from Perturbative Unitarity in Models with Three Scalar Doublets
• Recognizing symmetries in 3HDM in basis-independent way
• Higgs boson couplings in multi-doublet models with natural flavour conservation
• Symmetry and decoupling in multi Higgs models

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