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

2010/10/05 by P. M. Ferreira, Howard E. Haber, M. Maniatis +2 · 2 citations
Physics and Astronomy · #hep-ph #hep-th

paper · pdf · doi:10.1142/s0217751x11051494

published as Int.J.Mod.Phys.A26:769-808,2011 · 31 pages, 1 figure, 3 tables

arxiv created 2010/10/05 · arxiv updated 2011/03/02

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.

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