Electroweak corrections to high energy processes using effective field theory

Abstract

Electroweak Sudakov logarithms at high energy, of the form $(\ensuremath{\alpha}/{sin}^{2}{\ensuremath{\theta}}_{W}{)}^{n}{log}^{m}s/{M}_{Z,W}^{2}$, are summed using effective theory methods. The corrections are computed to processes involving two external particles in the standard model. The results include 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 ${M}_{W,Z}$ has a term at most linear in $\mathrm{log}s/{\ensuremath{\mu}}^{2}$ to all orders. The effective theory formalism is compared with, and extends, previous work based on infrared evolution equations.