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The universality class of the electroweak theory

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arxiv hep-lat/9805013 v1 pith:XCRV4VMR submitted 1998-05-13 hep-lat cond-mat.stat-mechhep-ph

classification hep-latcond-mat.stat-mechhep-ph
keywords classelectroweakcriticalendpointphaseuniversalitymodelnear
verification ladder T0 review T1 audit T2 compute T3 formal

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We study the universality class and critical properties of the electroweak theory at finite temperature. Such critical behaviour is found near the endpoint m_H=m_{H,c} of the line of first order electroweak phase transitions in a wide class of theories, including the Standard Model (SM) and a part of the parameter space of the Minimal Sypersymmetric Standard Model (MSSM). We find that the location of the endpoint corresponds to the Higgs mass m_{H,c} = 72(2) GeV in the SM with sin^2 theta_W = 0, and m_{H,c} < 80 GeV with sin^2 theta_W = 0.23. As experimentally m_H > 88 GeV, there is no electroweak phase transition in the SM. We compute the corresponding critical indices and provide strong evidence that the phase transitions near the endpoint fall into the three dimensional Ising universality class.

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