Electroweak Corrections in High Energy Processes using Effective Field Theory

Abstract

Electroweak Sudakov logarithms at high energy, of the form alpha/(sin^2theta_W)^n log^m s/M_{Z,W}^2, are summed using effective theory methods. The corrections are computed to processes involving two external particles in the standard model. The results include non-zero particle masses, such as the t-quark mass, electroweak mixing effects which lead to unequal W and Z masses, and radiative Higgs corrections proportional to the Yukawa couplings. We show that the matching at the scale M_{W,Z} has a term at most linear in log s/mu^2 to all orders. The effective theory formalism is compared with, and extends, previous work based on infrared evolution equations.