Where the electroweak phase transition ends

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 ${\beta }_G=12\mathrm{}$ 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 ${\lambda }_3{/g}_3^2=0.102\mathrm{}\left(2\right)\mathrm{}$ in rough agreement with results of Karsch, Neuhaus, Patkós, and Rank at ${\beta }_G=9\mathrm{}$ and smaller lattices. The infinite volume extrapolation of the discontinuity $\Delta 〈{\phi }^{+}\phi 〉{/g}_3^2$ turns out to be zero at ${\lambda }_3{/g}_3^2=0.107\mathrm{}\left(2\right)\mathrm{}$ being an upper limit. We comment on the limitations of the second method.