Two-Higgs-doublet model from the group-theoretic perspective

2005/07/31 by Igor Ivanov, I. P. Ivanov · 9 citations
Physics and Astronomy · #Dark Matter and Cosmic Phenomena #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #cond-mat.other #hep-ph

paper · pdf · doi:10.1016/j.physletb.2005.10.015

published as Phys.Lett. B632 (2006) 360-365 · 10 pages; v3: expanded section on consequences, added subsections on CP-conservation, PQ symmetry, RG evolution; v4: misprints corrected; to appear in Physics Letters B

arxiv created 2005/10/20 · openalex publication_date 2005/10/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

In the two-Higgs-doublet model, different Higgs doublets can be viewed as components of a generic "hyperspinor". We decompose the Higgs potential of this model into irreducible representations of the SU(2) group of transformations of this hyperspinor. We discuss invariant combinations of the Higgs potential parameters lambda_i that arise in this decomposition and provide simple and concise sets of conditions for the hidden Z₂-symmetry, Peccei-Quinn symmetry, and explicit CP-conservation in 2HDM. We show that some results obtained previously by brute-force calculations are reduced to simple linear algebraic statements in our approach.

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