Critical Higgs mass and temperature dependence of gauge boson masses in the SU(2) Gauge-Higgs model

Karsch F, Neuhaus T, Patkos A, Rank J. Critical Higgs mass and temperature dependence of gauge boson masses in the SU(2) Gauge-Higgs model. In: Nuclear Physics B - Proceedings Supplements. Nucl. Phys. B, Proc. Suppl. Vol 53. ELSEVIER SCIENCE BV; 1997: 623-625.We study the effective 3-D SU(2) Gauge-Higgs model at finite temperature for Higgs-masses in the range from 60 GeV up to 100 GeV. The first order electroweak phase transition weakens with increasing Higgs-mass and terminates at a critical end-point. For Higgs-mass values larger than about m(H,c) = 75.4(6) GeV the thermodynamic signature of the transition is described by a crossover. Close to this Higgs-mass value we investigate the vector boson propagator in Landau gauge. The calculated W-boson screening masses are compared with predictions based on gap equations