# The finite-temperature phase transition in lattice SU(2) Higgs theory at weak couplings

Bunk B, Ilgenfritz E-M, Kripfganz J, Schiller A (1993) *Nuclear Physics B* 403(1-2): 453-474.

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In the weak-coupling region, at beta = 8 and a lambda corresponding to an intermediate Higgs mass, the Higgs transition is studied on asymmetric thermal (N(sigma)3 X 2) lattices. A two-state signal is identified, indicating a first-order transition. Multihistogram and finite-size analysis are consistent with such a conclusion although the evidence is rather weak. The value of the Higgs condensate upsilon(T(crit)) indicates a weakly first-order transition, in qualitative accordance with partially resummed perturbation theory. On the other hand, the latent heat and the metastability temperature range deltaT/T(crit) exceed perturbative estimates by an order of magnitude. Higgs and vector boson masses are measured on symmetric lattices near the zero-temperature phase transition. The W-mass is found to be more sensitive to the lattice size than the Higgs mass. Masses and condensates are consistent with improved tree level relations within reasonable renormalized couplings.

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Bunk B, Ilgenfritz E-M, Kripfganz J, Schiller A. The finite-temperature phase transition in lattice SU(2) Higgs theory at weak couplings.

*Nuclear Physics B*. 1993;403(1-2):453-474.Bunk, B., Ilgenfritz, E. - M., Kripfganz, J., & Schiller, A. (1993). The finite-temperature phase transition in lattice SU(2) Higgs theory at weak couplings.

*Nuclear Physics B*,*403*(1-2), 453-474. doi:10.1016/0550-3213(93)90043-OBunk, B., Ilgenfritz, E. - M., Kripfganz, J., and Schiller, A. (1993). The finite-temperature phase transition in lattice SU(2) Higgs theory at weak couplings.

*Nuclear Physics B*403, 453-474.Bunk, B., et al., 1993. The finite-temperature phase transition in lattice SU(2) Higgs theory at weak couplings.

*Nuclear Physics B*, 403(1-2), p 453-474. B. Bunk, et al., “The finite-temperature phase transition in lattice SU(2) Higgs theory at weak couplings”,

*Nuclear Physics B*, vol. 403, 1993, pp. 453-474. Bunk, B., Ilgenfritz, E.-M., Kripfganz, J., Schiller, A.: The finite-temperature phase transition in lattice SU(2) Higgs theory at weak couplings. Nuclear Physics B. 403, 453-474 (1993).

Bunk, B., Ilgenfritz, Ernst-Michael, Kripfganz, J., and Schiller, Arwed. “The finite-temperature phase transition in lattice SU(2) Higgs theory at weak couplings”.

*Nuclear Physics B*403.1-2 (1993): 453-474.
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