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Soft-gluon corrections in $t{\bar t}W$ production

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arxiv 2312.00861 v2 pith:CM2MWULX submitted 2023-12-01 hep-ph

classification hep-ph
keywords correctionsproductioncalculatesoft-gluonapproximatedistributionsfindhigher-order
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We study higher-order QCD corrections for the associated production of a top-antitop quark pair and a $W$ boson ($t{\bar t}W$ production) in proton-proton collisions. We calculate approximate NNLO (aNNLO) and approximate N$^3$LO (aN$^3$LO) cross sections, with second-order and third-order soft-gluon corrections added to the exact NLO QCD result, and we also include electroweak (EW) corrections through NLO. We calculate uncertainties from scale dependence, which are reduced at higher orders, and from parton distributions, and we also provide separate results for $t{\bar t}W^+$ and $t{\bar t}W^-$ production. We compare our results to recent measurements from the LHC, and we find that the aN$^3$LO QCD + NLO EW predictions provide improved agreement with the data. We also calculate differential distributions in top-quark transverse momentum and rapidity and find significant enhancements from the higher-order corrections. This is the first calculation of soft-gluon corrections in single-particle-inclusive kinematics for a $2 \to 3$ process where all final-state particles are massive.

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  1. Two-loop Feynman integrals for leading colour $t\bar{t}W$ production at hadron colliders

    hep-ph 2025-04 conditional novelty 7.0 of 10

    A complete set of two-loop master integrals for leading-colour ttW production is reduced to differential equations that are at most quadratic in the dimensional regulator and evaluated numerically in the physical region.

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