TY - JOUR

T1 - Aspects of the cosmological electroweak phase transition

AU - Bödeker, D.

AU - Buchmüller, W.

AU - Fodor, Z.

AU - Helbig, T.

N1 - Funding Information:
The work of D. B. has been supported by the “Graduiertenkolleg für theoretische Elementarteilchenphysik”, Universitht Hamburg. Z. F. acknowledges partial support from Hung. Sci. Grant under contract OTKA-F1041.

PY - 1994/7/18

Y1 - 1994/7/18

N2 - 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 Zφ{symbol}(φ{symbol}2, T) and Zx(φ{symbol}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 ∼ 60 GeV the latent heat can reheat the system to the critical temperature, which qualitatively changes the nature of the transition.

AB - 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 Zφ{symbol}(φ{symbol}2, T) and Zx(φ{symbol}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 ∼ 60 GeV the latent heat can reheat the system to the critical temperature, which qualitatively changes the nature of the transition.

UR - http://www.scopus.com/inward/record.url?scp=0001730449&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001730449&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(94)90569-X

DO - 10.1016/0550-3213(94)90569-X

M3 - Article

AN - SCOPUS:0001730449

SN - 0550-3213

VL - 423

SP - 171

EP - 196

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1

ER -