Radiative Corrections to Longitudinal and Transverse Gauge Boson and Higgs Production

TL;DR

This paper provides explicit one-loop high-scale matching coefficients for gauge boson and Higgs production processes within the soft-collinear effective theory framework, applicable to the Standard Model with multiple gauge groups.

Contribution

It derives explicit expressions for the matching coefficients of EFT operators for key production processes, including detailed group theory factors for the Standard Model.

Findings

Explicit matching coefficients for q qbar -> VV and q qbar -> phi^+ phi

Group theory factors for Standard Model gauge groups

Application to radiative corrections in gauge boson and Higgs production

Abstract

Radiative corrections to gauge boson and Higgs production computed recently using soft-collinear effective theory (SCET) 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 (EFT) operators for q qbar -> VV and q qbar -> phi^+ 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.