The One-loop QCD Corrections for gamma^* to q qbar gg

TL;DR

This paper calculates the one-loop QCD amplitudes for off-shell vector boson decay into a quark-antiquark pair with two gluons, including all orders in the number of colours, advancing precision in multi-jet production predictions.

Contribution

It provides the first all-orders-in-colours computation of these amplitudes, completing the set needed for next-to-leading order corrections in various high-energy processes.

Findings

Enables precise NLO calculations for four-jet production in e+e- annihilation.

Supports improved predictions for gauge boson plus jets in hadron collisions.

Facilitates three-jet production analysis in deep inelastic scattering.

Abstract

We compute the one-loop QCD amplitudes for the decay of an off-shell vector boson with vector couplings into a quark-antiquark pair accompanied by two gluons keeping, for the first time, all orders in the number of colours. Together with previous work this completes the calculation of the necessary one-loop amplitudes needed for the calculation of the next-to-leading order O(alpha_s^3) corrections to four jet production in electron-positron annihilation, the production of a gauge boson accompanied by two jets in hadron-hadron collisions and three jet production in deep inelastic scattering.