The end point of the first-order phase transition of the SU(2) gauge-Higgs model on a 4-dimensional isotropic lattice

Abstract

We study the first-order finite-temperature electroweak phase transition of the SU(2) gauge-Higgs model defined on a four-dimensional isotropic lattice with the temporal extension ${N}_{t}=2$. A finite-size scaling study of Lee-Yang zeros yields the value of the Higgs self-coupling of the end point at ${\ensuremath{\lambda}}_{c}=0.00116(16)$. An independent analysis of the Binder cumulant gives a consistent value for the end point. Combined with our zero-temperature measurement of Higgs and W boson masses, this leads to ${M}_{H,c}=73.3\ifmmode\pm\else\textpm\fi{}6.4$ GeV for the critical Higgs boson mass beyond which the electroweak transition turns into a crossover.