High temperature dimensional reduction and parity violation

Kajantie K, Laine M, Rummukainen K, Shaposhnikov M. High temperature dimensional reduction and parity violation. Physics Letters B. 1998;423(1-2):137-144.The effective super-renormalizable 3-dimensional Lagrangian, describing the high temperature limit of chiral gauge theories, has more symmetry than the original 4d Lagrangian: parity violation is absent. Parity violation appears in the 3d theory only through higher-dimensional operators. We compute the coefficients of dominant P-odd operators in the Standard Electroweak theory and discuss their implications. We also clarify the parametric accuracy obtained with dimensional reduction. (C) 1998 Elsevier Science B.V