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Tridiagonal scalar mass matrix in the CP4 3HDM and its implications

Liu, Bei ; Ivanov, Igor P. and Gonçalves, João LU (2025) In Journal of High Energy Physics 2025(2).
Abstract

When parametrizing multi-Higgs potentials, it is desirable to express its coefficients via observables. This is routinely done for the 2HDM, but this approach often fails in more elaborate models. Here, we show that the scalar sector of the CP4 3HDM, an intriguing model based on an order-4 CP symmetry, can also be parametrized in an observable-driven manner. The key feature that makes it work is the very special tridiagonal form of the 5 × 5 neutral Higgs mass matrix. We propose a set of input observables and present an algorithm to reconstruct the coefficients of the potential through linear relations. Equipped with this procedure, we explore the scalar sector of the CP4 3HDM beyond the limitations of previous studies. In particular,... (More)

When parametrizing multi-Higgs potentials, it is desirable to express its coefficients via observables. This is routinely done for the 2HDM, but this approach often fails in more elaborate models. Here, we show that the scalar sector of the CP4 3HDM, an intriguing model based on an order-4 CP symmetry, can also be parametrized in an observable-driven manner. The key feature that makes it work is the very special tridiagonal form of the 5 × 5 neutral Higgs mass matrix. We propose a set of input observables and present an algorithm to reconstruct the coefficients of the potential through linear relations. Equipped with this procedure, we explore the scalar sector of the CP4 3HDM beyond the limitations of previous studies. In particular, we identify a viable and testable regime in which all additional Higgses lie in the 300–600 GeV range. This work offers a key ingredient for a future full phenomenological scan of this model.

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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
CP Violation, Discrete Symmetries, Multi-Higgs Models
in
Journal of High Energy Physics
volume
2025
issue
2
article number
69
publisher
Springer
external identifiers
  • scopus:86000025430
ISSN
1029-8479
DOI
10.1007/JHEP02(2025)069
language
English
LU publication?
yes
additional info
Publisher Copyright: © The Author(s) 2025.
id
8b1148cd-ea06-4f48-883e-36cd6f85f113
date added to LUP
2025-06-23 15:19:19
date last changed
2025-06-23 15:19:58
@article{8b1148cd-ea06-4f48-883e-36cd6f85f113,
  abstract     = {{<p>When parametrizing multi-Higgs potentials, it is desirable to express its coefficients via observables. This is routinely done for the 2HDM, but this approach often fails in more elaborate models. Here, we show that the scalar sector of the CP4 3HDM, an intriguing model based on an order-4 CP symmetry, can also be parametrized in an observable-driven manner. The key feature that makes it work is the very special tridiagonal form of the 5 × 5 neutral Higgs mass matrix. We propose a set of input observables and present an algorithm to reconstruct the coefficients of the potential through linear relations. Equipped with this procedure, we explore the scalar sector of the CP4 3HDM beyond the limitations of previous studies. In particular, we identify a viable and testable regime in which all additional Higgses lie in the 300–600 GeV range. This work offers a key ingredient for a future full phenomenological scan of this model.</p>}},
  author       = {{Liu, Bei and Ivanov, Igor P. and Gonçalves, João}},
  issn         = {{1029-8479}},
  keywords     = {{CP Violation; Discrete Symmetries; Multi-Higgs Models}},
  language     = {{eng}},
  number       = {{2}},
  publisher    = {{Springer}},
  series       = {{Journal of High Energy Physics}},
  title        = {{Tridiagonal scalar mass matrix in the CP4 3HDM and its implications}},
  url          = {{http://dx.doi.org/10.1007/JHEP02(2025)069}},
  doi          = {{10.1007/JHEP02(2025)069}},
  volume       = {{2025}},
  year         = {{2025}},
}