Electroweak corrections in high energy processes using effective field theory
Jui-yu Chiu, Frank Golf, Randall Kelley, and Aneesh V. Manohar

Electroweak Sudakov logarithms at high energy, of the form $(\alpha/\sin^2\theta_W)^n\log^m s/M_{Z,W}^2$, 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.

© 2008 The American Physical Society.