One-loop squared amplitudes for hadronic $tW$ production at next-to-next-to-leading order in QCD

TL;DR

This paper provides analytic one-loop squared amplitude results for $tW$ production at hadron colliders, crucial for precise NNLO calculations and resummation in QCD.

Contribution

It introduces a novel analytic calculation of one-loop squared amplitudes for $tW$ production using differential equations, aiding NNLO QCD predictions.

Findings

Infrared divergences match theoretical predictions.

Finite remainders contribute to NNLO hard functions.

Results facilitate resummation and phase space slicing methods.

Abstract

We present the analytic results of one-loop squared amplitudes for $tW$ production at a hadron collider. The calculation is performed using the method of differential equations. After renormalization, we have checked that the infrared divergences agree with the general structure predicted by anomalous dimensions. The finite remainder contributes to the next-to-next-to-leading order hard function, one of the essential ingredients in the factorization formula of the cross section near the infrared region, which can be used in resummation of all-order soft gluon effects or a differential next-to-next-to-leading order calculation based on the phase space slicing method.