Geometric picture of generalized-CP and Higgs-family transformations in the two-Higgs-doublet model

Abstract

In the two-Higgs-doublet model (THDM), generalized-CP transformations (phi_i--> X_{ij} phi_j^* where X is unitary) and unitary Higgs-family transformations (phi_i--> U_{ij} phi_j) have recently been examined in a series of papers. In terms of gauge-invariant bilinear functions of the Higgs fields phi_i, the Higgs-family transformations and the generalized-CP transformations possess a simple geometric description. Namely, these transformations correspond in the space of scalar-field bilinears to proper and improper rotations, respectively. In this formalism, recent results relating generalized CP transformations with Higgs-family transformations have a clear geometric interpretation.

31 pages, 1 figure, 3 tables

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Cited by in corpus (19)

• Basis-independent methods for the two-Higgs-doublet model III: The CP-conserving limit, custodial symmetry, and the oblique parameters S, T, U
• Discrete symmetries in the three-Higgs-doublet model
• Stability and symmetry breaking in the general three-Higgs-doublet model
• A natural mechanism for approximate Higgs alignment in the 2HDM
• When the C in CP does not matter: anatomy of order-4 CP eigenstates and their Yukawa interactions
• Beyond basis invariants
• Symmetries of the 2HDM: an invariant formulation and consequences
• Exceptional regions of the 2HDM parameter space
• Compatible abelian symmetries in N-Higgs-Doublet Models
• A fully basis invariant Symmetry Map of the 2HDM
• Global Symmetries and Effective Potential of 2HDM in Orbit Space
• Softly broken symmetries in the 2HDM -- an invariant formulation
• Systematic analysis of 3HDM symmetries
• RG-stable parameter relations of a scalar field theory in absence of a symmetry
• Symmetries for the 4HDM. II. Extensions by rephasing groups
• Symmetries from outer automorphisms and unorthodox group extensions
• Fine-Tuning in the 2HDM
• Discriminating between $CP$ and family transformations in the bilinear space of NHDM
• Accidental symmetries in the scalar potential of the Standard Model extended with two Higgs triplets