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 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.

24 pages, 7 figures. v2: published version

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Cited by in corpus (8)

• Analytic two-loop amplitudes for $tW$ production: leading color and light fermion-loop contributions
• Complete two-loop QCD amplitudes for $tW$ production at hadron colliders
• Analytic two-loop master integrals for $tW$ production at hadron colliders. Part II
• $W$ boson mass shift, dark matter and $(g-2{)}_{\ell }$ in a scotogenic-Zee model
• Next-to-next-to-leading order threshold soft function for $tW$ production
• Subtraction of the $t\bar{t}$ contribution in $tW\bar{b}$ production at the one-loop level
• Evaluating master integrals in non-factorizable corrections to $t$-channel single-top production at NNLO QCD
• Constraining dimension-6 SMEFT with higher-order predictions for $pp\to tW$