Soft and collinear functions for the standard model

Abstract

Radiative corrections to high-energy scattering processes were given previously in terms of universal soft and collinear functions. This paper gives the collinear functions for all standard model particles, the general form of the soft function, and explicit expressions for the soft functions for fermion-fermion scattering, longitudinal and transverse gauge boson production, single $W/Z$ production, and associated Higgs production. An interesting subtlety in the use of the Goldstone boson equivalence theorem for longitudinal ${W}^{+}$ production is discussed.