Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1993-11-23
Nucl.Phys. B423 (1994) 171-196
Physics
High Energy Physics
High Energy Physics - Phenomenology
26 pages Latex, 12 Figures (ps files can be obtained by bitnet)
Scientific paper
10.1016/0550-3213(94)90569-X
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 $Z_{\chi}(\vp^2,T)$ 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.
Bodeker Dietrich
Buchmüller Wilfried
Fodor Zoltan
Helbig Thomas
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