Confinement in three dimensions and the electroweak phase transition

W. Buchmüller; Z. Fodor

doi:10.1016/0370-2693(94)90952-0

Confinement in three dimensions and the electroweak phase transition

W. Buchmüller, Z. Fodor

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

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Abstract

The infrared behaviour of the standard model at finite temperature is determined by the confining phase of the SU(2)-Higgs model in three dimensions. Due to the Landau singularity of the three-dimensional gauge theory the perturbative treatment of the electroweak phase transition breaks down for Higgs masses above a critical mass m_H^c. Based on a renormalizationgroup improved effective potential we find m_H^c ∼ 70 GeV. The scalar self-coupling has a Landau-type singularity also in the abelian U(1)-Higgs model, which leads to a breakdown of perturbation theory in the symmetric phase.

Original language	English (US)
Pages (from-to)	124-130
Number of pages	7
Journal	Physics Letters B
Volume	331
Issue number	1-2
DOIs	https://doi.org/10.1016/0370-2693(94)90952-0
State	Published - Jun 30 1994

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/0370-2693(94)90952-0

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abstract = "The infrared behaviour of the standard model at finite temperature is determined by the confining phase of the SU(2)-Higgs model in three dimensions. Due to the Landau singularity of the three-dimensional gauge theory the perturbative treatment of the electroweak phase transition breaks down for Higgs masses above a critical mass mHc. Based on a renormalizationgroup improved effective potential we find mHc ∼ 70 GeV. The scalar self-coupling has a Landau-type singularity also in the abelian U(1)-Higgs model, which leads to a breakdown of perturbation theory in the symmetric phase.",

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AU - Fodor, Z.

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N2 - The infrared behaviour of the standard model at finite temperature is determined by the confining phase of the SU(2)-Higgs model in three dimensions. Due to the Landau singularity of the three-dimensional gauge theory the perturbative treatment of the electroweak phase transition breaks down for Higgs masses above a critical mass mHc. Based on a renormalizationgroup improved effective potential we find mHc ∼ 70 GeV. The scalar self-coupling has a Landau-type singularity also in the abelian U(1)-Higgs model, which leads to a breakdown of perturbation theory in the symmetric phase.

AB - The infrared behaviour of the standard model at finite temperature is determined by the confining phase of the SU(2)-Higgs model in three dimensions. Due to the Landau singularity of the three-dimensional gauge theory the perturbative treatment of the electroweak phase transition breaks down for Higgs masses above a critical mass mHc. Based on a renormalizationgroup improved effective potential we find mHc ∼ 70 GeV. The scalar self-coupling has a Landau-type singularity also in the abelian U(1)-Higgs model, which leads to a breakdown of perturbation theory in the symmetric phase.

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Confinement in three dimensions and the electroweak phase transition

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