Higgs potential in gauge-Higgs unification with a flat extra dimension

Mitsuru Kakizaki; Shin Suzuki

doi:10.1016/j.physletb.2021.136637

Higgs potential in gauge-Higgs unification with a flat extra dimension

Mitsuru Kakizaki^*, Shin Suzuki

^*Corresponding author for this work

Department of Physics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We analyze the structure of the Higgs potential in gauge-Higgs unification with a flat extra dimension. As a concrete model, we first consider the cases where the Standard Model Higgs doublet is embedded into a higher-dimensional SU(3)_w gauge multiplet with five-dimensional Lorentz symmetry relaxed. In this SU(3)_w model with Lorentz violation, the deviation of the resulting triple Higgs boson coupling from its SM prediction is shown to be less than 10% when the compactification scale is larger than the experimental lower bound, which is around 5 TeV. Next, we examine the Higgs potential in other similar gauge-Higgs unification models with a flat extra dimension. It is pointed out that even in such models the shape of the Higgs potential around the vacuum quickly approaches that of the minimal Higgs potential with one Higgs doublet as the compactification scale of the extra dimension increases. An observable deviation of the triple Higgs boson coupling at planned lepton colliders will necessitate significant extensions of such gauge-Higgs unification models.

Original language	English
Article number	136637
Journal	Physics Letters B
Volume	822
DOIs	https://doi.org/10.1016/j.physletb.2021.136637
State	Published - 2021/11/10

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.physletb.2021.136637

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title = "Higgs potential in gauge-Higgs unification with a flat extra dimension",

abstract = "We analyze the structure of the Higgs potential in gauge-Higgs unification with a flat extra dimension. As a concrete model, we first consider the cases where the Standard Model Higgs doublet is embedded into a higher-dimensional SU(3)w gauge multiplet with five-dimensional Lorentz symmetry relaxed. In this SU(3)w model with Lorentz violation, the deviation of the resulting triple Higgs boson coupling from its SM prediction is shown to be less than 10% when the compactification scale is larger than the experimental lower bound, which is around 5 TeV. Next, we examine the Higgs potential in other similar gauge-Higgs unification models with a flat extra dimension. It is pointed out that even in such models the shape of the Higgs potential around the vacuum quickly approaches that of the minimal Higgs potential with one Higgs doublet as the compactification scale of the extra dimension increases. An observable deviation of the triple Higgs boson coupling at planned lepton colliders will necessitate significant extensions of such gauge-Higgs unification models.",

author = "Mitsuru Kakizaki and Shin Suzuki",

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AB - We analyze the structure of the Higgs potential in gauge-Higgs unification with a flat extra dimension. As a concrete model, we first consider the cases where the Standard Model Higgs doublet is embedded into a higher-dimensional SU(3)w gauge multiplet with five-dimensional Lorentz symmetry relaxed. In this SU(3)w model with Lorentz violation, the deviation of the resulting triple Higgs boson coupling from its SM prediction is shown to be less than 10% when the compactification scale is larger than the experimental lower bound, which is around 5 TeV. Next, we examine the Higgs potential in other similar gauge-Higgs unification models with a flat extra dimension. It is pointed out that even in such models the shape of the Higgs potential around the vacuum quickly approaches that of the minimal Higgs potential with one Higgs doublet as the compactification scale of the extra dimension increases. An observable deviation of the triple Higgs boson coupling at planned lepton colliders will necessitate significant extensions of such gauge-Higgs unification models.

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Higgs potential in gauge-Higgs unification with a flat extra dimension

Abstract

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