Radiative corrections to longitudinal and transverse gauge boson and Higgs production

Abstract

Radiative corrections to gauge boson and Higgs production computed recently using soft-collinear effective theory require the one-loop high-scale matching coefficients in the standard model. We give explicit expressions for the matching coefficients for the effective field theory operators for $q\overline{q}\ensuremath{\rightarrow}VV$ and $q\overline{q}\ensuremath{\rightarrow}{\ensuremath{\phi}}^{\ifmmode\dagger\else\textdagger\fi{}}\ensuremath{\phi}$ for a general gauge theory with an arbitrary number of gauge groups. The group theory factors are given explicitly for the standard model, including both QCD and electroweak corrections.