Where the electroweak phase transition ends

Details Where the electroweak phase transition ends Where the electroweak phase transition ends

1997-04-23

arxiv.org/abs/hep-lat/9704013v3

Phys.Rev. D56 (1997) 3888-3895

Physics

High Energy Physics

High Energy Physics - Lattice

RevTeX, 19 pages, 11 figures, 2 tables; additional MC-data near the endpoint considered

Scientific paper

10.1103/PhysRevD.56.3888

We give a more precise characterisation of the end of the electroweak phase transition in the framework of the effective 3d SU(2)--Higgs lattice model than has been given before. The model has now been simulated at gauge couplings beta_G=12 and 16 for Higgs 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(2) in rough agreement with results of Karsch et al (hep-lat/9608087) at \beta_G=9 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(2) being an upper limit. We comment on the limitations of the second method.

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