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

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 gradients 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.

Evaluating master integrals in non-factorizable corrections to $t$-channel single-top production at NNLO QCD

“…As for the tW mode, the complete corrections at NNLO QCD are still unavailable. Only partial results have been obtained [28][29][30][31][32] and the complete two-loop QCD amplitudes for tW production were studied very recently [33].…”

Understanding PDF uncertainty on the $W$ boson mass measurements in CT18 global analysis

“…This new measurement triggers a lot of discussions concerning possible new physics effects (see Refs. as examples), Standard Model Effective Theory (SMEFT) implications [90][91][92][93], as well as evaluations of various theoretical uncertainties [94][95][96][97][98]. Previously, there are also direct measurements at the LHC 7 TeV from the ATLAS collaboration with M W = 80, 370 ± 7 stat ± 18 syst MeV [99], at the LHC 13 TeV from the LHCb collaboration with M W = 80, 354 ± 23 stat ± 22 syst MeV [100], and ealier from Tevatron [101] and LEP [102].…”