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Classification of Higgs sectors from group theoretical properties of UV gauge theories

Shinya Kanemura*

Yushi Mura†

Tetsuo Shindou‡

  • *Contact author: kanemu@het.phys.sci.osaka-u.ac.jp
  • †Contact author: yushi37@post.kek.jp
  • ‡Contact author: shindou@cc.kogakuin.ac.jp
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Phys. Rev. D 113, 055020 – Published 11 March, 2026

DOI: https://doi.org/10.1103/3cr2-1c38

Abstract

Extended Higgs sectors are often introduced to explain phenomena beyond the standard model (BSM). The existence of multiple scalar fields may cause the Landau pole below the Planck scale. In this case, the low-energy theory may be replaced by an asymptotic-free gauge theory. In this paper, we consider an SU(2) gauge theory with confinement as such an ultraviolet theory of the extended Higgs sectors. We investigate the relation between scalar particle contents at the low energy and group theoretical properties of fundamental fermions of the gauge theory. We find that particle contents of various extended Higgs sectors previously proposed to explain the BSM problems are deduced by each charge assignment of flavor symmetry of the fundamental fermions of the SU(2) gauge symmetry. Our findings may provide a new picture for the ultraviolet completion of the extended Higgs sectors.

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Phys. Rev. D 113, 055020– Published 11 March, 2026
  • Received 9 September 2025
  • Accepted 22 January 2026
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