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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 Nₓ=2. A finite-size scaling study of Lee-Yang zeros yields the value of the Higgs self-coupling of the end point at ₂=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 M₇, ₂=73. 36. 4 GeV for the critical Higgs boson mass beyond which the electroweak transition turns into a crossover.
Aoki et al. (Mon,) studied this question.