The universality class of the electroweak theory

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...

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Bibliographic Details
Published in:Nuclear physics. B 1998-11, Vol.532 (1), p.283-314
Main Authors: Rummukainen, K., Tsypin, M., Kajantie, K., Laine, M., Shaposhnikov, M.
Format: Article
Language:English
Subjects:
Electroweak phase transition
Finite temperature
Lattice simulations
Universality class
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Summary: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 θ w = 0, and m H, c < 80 GeV with sin 2 θ 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.
ISSN:0550-3213
1873-1562
DOI:10.1016/S0550-3213(98)00494-5