The Ising model universality of the electroweak theory

Lattice simulations have shown that the first order electroweak phase transition turns into a regular cross-over at a critical Higgs mass $m_{H,c}$. We have developed a method which enables us to make a detailed investigation of the critical properties of the electroweak theory at $m_{H,c}$. We find that the transition falls into the 3d Ising universality class. The continuum limit extrapolation of the critical Higgs mass is $m_{H,c} = 72(2)$ GeV, which implies that there is no electroweak phase transition in the Standard Model.