Electroweak corrections to high energy processes using effective field theory

Electroweak Sudakov logarithms at high energy, of the form (α/sin2θW)nlogms/MZ,W2, are summed using effective theory methods. The corrections are computed to processes involving two external particles in the standard model. The results include nonzero 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 MW,Z has a term at most linear in logs/μ2 to all orders. The effective theory formalism is compared with, and extends, previous work based on infrared evolution equations.