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arXiv · hep-ph/9311346

Aspects of the Cosmological Electroweak Phase Transition

D. Bödeker·W. Buchmüller·Z. Fodor·T. Helbig
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Abstract

We study the decay of the metastable symmetric phase in the standard model at finite temperature. For the SU(2)-Higgs model the two wave function correction terms $Z_{\vp}(\vp^2,T)$ and $Z_χ(\vp^2,T)$ of Higgs and Goldstone boson fields are calculated to one-loop order. We find that the derivative expansion of the effective action is reliable for Higgs masses smaller than the W-boson mass. We propose a new procedure to evaluate the decay rate by first integrating out the vector field and the components of the scalar fields with non-zero Matsubara frequencies. The static part of the scalar field is treated in the saddle point approximation. As a by-product we obtain a formula for the decay rate of a homogeneous unstable state. The course of the cosmological electroweak phase transition is evaluated numerically for different Higgs boson masses and non-vanishing magnetic mass of the gauge boson. For Higgs masses above $\sim 60$ GeV the latent heat can reheat the system to the critical temperature which qualitatively changes the nature of the transition.

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D. Bödeker, W. Buchmüller, Z. Fodor, T. Helbig. 1993-11-23. Aspects of the Cosmological Electroweak Phase Transition. https://doi.org/10.1016/0550-3213(94)90569-x

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