Where the electroweak phase transition ends

Abstract

We give a more precise characterization of the end of the electroweak phase transition in the framework of the effective three-dimensional SU(2)-Higgs lattice model than has been given before. The model has now been simulated at gauge couplings ${\ensuremath{\beta}}_{G}=12$ and $16$ for Higgs boson masses ${M}_{H}^{*}$=70, 74, 76, and 80 GeV up to lattices ${96}^{3}$ and the data have been used for reweighting. The breakdown of finite volume scaling of the Lee-Yang zeroes indicates the change from a first order transition to a crossover at ${\ensuremath{\lambda}}_{3}{/g}_{3}^{2}=0.102(2)$ in rough agreement with results of Karsch, Neuhaus, Patk\'os, and Rank at ${\ensuremath{\beta}}_{G}=9$ and smaller lattices. The infinite volume extrapolation of the discontinuity $\ensuremath{\Delta}〈{\ensuremath{\varphi}}^{+}\ensuremath{\varphi}〉{/g}_{3}^{2}$ turns out to be zero at ${\ensuremath{\lambda}}_{3}{/g}_{3}^{2}=0.107(2)$ being an upper limit. We comment on the limitations of the second method.