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arXiv · 1010.0935

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

P. M. Ferreira·Howard E. Haber·M. Maniatis·O. Nachtmann·Joao P. Silva
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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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P. M. Ferreira, Howard E. Haber, M. Maniatis, O. Nachtmann, Joao P. Silva. 2010-10-05. Geometric picture of generalized-CP and Higgs-family transformations in the two-Higgs-doublet model. https://doi.org/10.1142/s0217751x11051494

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