Electroweak Corrections in High Energy Processes using Effective Field Theory

TL;DR

This paper develops an effective field theory approach to sum electroweak Sudakov logarithms at high energies, incorporating particle masses, mixing effects, and Higgs corrections for processes with two external particles in the Standard Model.

Contribution

It introduces a comprehensive effective theory framework that includes mass effects, mixing, and Yukawa couplings, extending previous infrared evolution methods for electroweak corrections.

Findings

Summation of electroweak Sudakov logarithms at high energies.

Inclusion of non-zero particle masses and mixing effects.

Matching at the W and Z scale involves at most linear logarithmic terms.

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.