Conditions for the custodial symmetry in multi-Higgs-doublet models

Abstract

We derive basis-independent, necessary and sufficient conditions for the custodial symmetry in N-Higgs-doublet models (NHDM) for N > 2, and apply them on some 3HDM examples.

37 pages, 1 figure. A section on spontaneous breaking of the custodial SO(4) symmetry is added, in addition to a section on the Ivanov-Silva model and a discussion of theorem 1 in the case N=2. Equivalent to the version published in JHEP

References in corpus (2)

• Symmetry and Mass Degeneration in Multi-Higgs-Doublet Models
• On the terms violating the custodial symmetry in multi-Higgs-doublet models

Cited by in corpus (5)

• Custodial symmetry, Georgi-Machacek model, and other scalar extensions
• Democratic three Higgs-doublet models: the custodial limit and wrong-sign Yukawa
• The general Two-Higgs Doublet Model in a gauge-invariant form
• Is Higgsium a possibility in 2HDMs?
• Computable conditions for order-2 $CP$ symmetry in NHDM potentials