Electroweak Sudakov logarithms in the Coulomb gauge

Abstract

We describe a formalism for calculating electroweak Sudakov logarithms in the Coulomb gauge. This formalism is applicable to arbitrary electroweak processes. For illustration we focus on the specific reactions e^+e^- -> f \bar{f} and e^+e^- -> W_T^+W_T^-, W_L^+W_L^-, which contain all the salient details of dealing with the various types of particles. We discuss an explicit two-loop calculation and have a critical look at the (non-)exponentiation and factorisation properties of the Sudakov logarithms in the Standard Model.

Comments: 6 pages, LaTeX, uses npb.sty. Talk given at the 5th Zeuthen Workshop on Elementary Particle Theory: Loops and Legs in Quantum Field Theory, Koenigstein-Weissig, Germany, 9-14 Apr 2000