Properties of the general NHDM. I. The orbit space
I. P. Ivanov, C. C. Nishi

TL;DR
This paper explores the geometric structure of the scalar sector in the general N-Higgs-doublet model, providing detailed descriptions of the orbit space for various N and highlighting interesting parallels with quantum information theory.
Contribution
It offers a comprehensive geometric analysis of the orbit space in NHDM, especially for N=3, and draws novel connections with quantum information theory.
Findings
Detailed shape characterization of the orbit space for N=3
Identification of geometric properties in the scalar sector
Analogies between NHDM and quantum information theory
Abstract
We study the scalar sector of the general N-Higgs-doublet model via geometric constructions in the space of gauge orbits. We give a detailed description of the shape of the orbit space both for general N and, in more detail, for N=3. We also comment on remarkable analogies between NHDM and quantum information theory.
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