HIGH-TEMPERATURE DIMENSIONAL REDUCTION AND PARITY VIOLATION

The effective super-renormalizable 3-dimensional Lagrangian, describin g the high temperature limit of chiral gauge theories, has more symmet ry than the original 4d Lagrangian: parity violation is absent. Parity violation appears in the 3d theory only through higher-dimensional op erators. We compute the coefficients of dominant P-odd operators in th e Standard Electroweak theory and discuss their implications. We also clarify the parametric accuracy obtained with dimensional reduction. ( C) 1998 Elsevier Science B.V.