# Generic rules for high temperature dimensional reduction and their application to the Standard Model

Kajantie K, Laine M, Rummukainen K, Shaposhnikov M (1996)

Nuclear Physics B 458(1-2): 90-136.

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We formulate the rules for dimensional reduction of a generic finite temperature gauge theory to a simpler three-dimensional effective bosonic theory in terms of a matching of Green functions in the full and the effective theory, and present a computation of a generic set of 1- and 2-loop graphs needed for the application of these rules. As a concrete application we determine the explicit mapping of the physical parameters of the standard electroweak theory to a three-dimensional SU(2) x U(1) gauge-Higgs theory. We argue that this three-dimensional theory has a universal character and appears as an effective theory for many extensions of the Standard Model.

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Kajantie K, Laine M, Rummukainen K, Shaposhnikov M. Generic rules for high temperature dimensional reduction and their application to the Standard Model.

*Nuclear Physics B*. 1996;458(1-2):90-136.Kajantie, K., Laine, M., Rummukainen, K., & Shaposhnikov, M. (1996). Generic rules for high temperature dimensional reduction and their application to the Standard Model.

*Nuclear Physics B*,*458*(1-2), 90-136.Kajantie, K., Laine, M., Rummukainen, K., and Shaposhnikov, M. (1996). Generic rules for high temperature dimensional reduction and their application to the Standard Model.

*Nuclear Physics B*458, 90-136.Kajantie, K., et al., 1996. Generic rules for high temperature dimensional reduction and their application to the Standard Model.

*Nuclear Physics B*, 458(1-2), p 90-136.K. Kajantie, et al., “Generic rules for high temperature dimensional reduction and their application to the Standard Model”,

*Nuclear Physics B*, vol. 458, 1996, pp. 90-136.Kajantie, K., Laine, M., Rummukainen, K., Shaposhnikov, M.: Generic rules for high temperature dimensional reduction and their application to the Standard Model. Nuclear Physics B. 458, 90-136 (1996).

Kajantie, K, Laine, Mikko, Rummukainen, K, and Shaposhnikov, M. “Generic rules for high temperature dimensional reduction and their application to the Standard Model”.

*Nuclear Physics B*458.1-2 (1996): 90-136.
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arXiv hep-ph/9508379

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