Computable conditions for order-2 symmetry in NHDM potentials
arXiv:2404.02004 · doi:10.1007/JHEP05(2024)260
Abstract
We derive necessary and sufficient conditions for order-2 () symmetry in -Higgs-doublet potentials for . The conditions, which are formulated as relations between vectors that transform under the adjoint representation of under a change of doublet basis, are representation theoretical in nature. Making use of Lie algebra and representation theory we devise an efficient, computable algorithm which may be applied to decide whether or not a given numerical potential is invariant.
arXiv comment22 pages, 1 figure. v3: corrected typos, matches published version
References in corpus (22)
- Conditions for CP-Violation in the General Two-Higgs-Doublet Model
- CP Violation in the General Two-Higgs-Doublet Model: a Geometric View
- LieART 2.0 -- A Mathematica Application for Lie Algebras and Representation Theory
- Two-Higgs-doublet model from the group-theoretic perspective
- Abelian symmetries in multi-Higgs-doublet models
- Abelian symmetries in multi-Higgs-doublet models
- A CP-conserving multi-Higgs model without real basis
- The Private Higgs
- CP violating scalar Dark Matter
- Recognizing symmetries in 3HDM in basis-independent way
- Stability and symmetry breaking in the general n-Higgs-doublet model
- Custodial SO(4) symmetry and CP violation in N-Higgs-doublet potentials
- Basis-invariant conditions for CP symmetry of order 4
- CP violation from charged Higgs bosons in the three Higgs doublet model
- Multi-Higgs models with CP symmetries of increasingly high order
- Private Higgs at the LHC
- Symmetries for the 4HDM: extensions of cyclic groups
- Conditions for the custodial symmetry in multi-Higgs-doublet models
- Lepton Flavor Specific Extended Higgs Model
- Six Higgs Doublets Model for Dark Matter
- Gauge coupling unification with extra Higgs doublets
- Orbifold GUT model with nine Higgs doublets