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.

arXiv comment24 pages, 7 figures. v2: published version

References in corpus (49)

• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• Multiloop integrals in dimensional regularization made simple
• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• Single-top Wt-channel production matched with parton showers using the POWHEG method
• Two-loop soft anomalous dimensions for single top quark associated production with a W- or H-
• Single-top hadroproduction in association with a W boson
• FeynCalc 9.3: New features and improvements
• Package-X: A Mathematica package for the analytic calculation of one-loop integrals
• Scalar one-loop integrals for QCD
• On the Structure of Infrared Singularities of Gauge-Theory Amplitudes
• Infrared singularities of scattering amplitudes in perturbative QCD
• N-Jettiness: An Inclusive Event Shape to Veto Jets
• HATHOR for single top-quark production: Updated predictions and uncertainty estimates for single top-quark production in hadronic collisions
• AMFlow: a Mathematica package for Feynman integrals computation via Auxiliary Mass Flow
• Presenting LiteRed: a tool for the Loop InTEgrals REDuction
• Single top quark production at the Tevatron: threshold resummation and finite-order soft gluon corrections
• Infrared singularities of QCD amplitudes with massive partons
• Next-to-leading order corrections to Wt production and decay
• The three loop on-shell renormalization of QCD and QED
• Two-loop divergences of scattering amplitudes with massive partons
• An NLO+PS generator for $t\bar{t}$ and $Wt$ production and decay including non-resonant and interference effects
• Observation of the associated production of a single top quark and a W boson in pp collisions at sqrt(s) = 8 TeV
• Heavy-quark production in gluon fusion at two loops in QCD
• tWH associated production at the LHC
• Evidence for the associated production of a W boson and a top quark in ATLAS at sqrt(s) = 7 TeV
• Heavy-quark production in massless quark scattering at two loops in QCD
• Evidence for associated production of a single top quark and W boson in pp collisions at sqrt(s) = 7 TeV
• Next-to-leading order QCD corrections to $bg\to t{W}^{-}$ at the CERN Large Hadron Collider
• Top quark pair production at small transverse momentum in hadronic collisions
• QCD Corrections to W Boson plus Heavy Quark Production at the Tevatron
• Measurement of the production cross-section of a single top quark in association with a $W$ boson at 8 TeV with the ATLAS experiment
• Higher-order corrections for $tW$ production at high-energy hadron colliders
• Measurement of the cross-section for producing a $W$ boson in association with a single top quark in $pp$ collisions at $\sqrt{s}=13$ TeV with ATLAS
• Computation of the Soft Anomalous Dimension Matrix in Coordinate Space
• A prescription for projectors to compute helicity amplitudes in D dimensions
• Measurement of the production cross section for single top quarks in association with W bosons in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Towards a new approximation for pair-production and associated-production of the Higgs boson
• Soft-gluon corrections for $tW$ production at N${}^3$LO
• Soft anomalous dimensions for single-top production at three loops
• Measurement of differential cross-sections of a single top quark produced in association with a $W$ boson at $\sqrt{s}=13$ TeV with ATLAS
• Efficient computation of two-loop amplitudes for Higgs boson pair production
• Next-to-Next-to-Leading Order $N$-Jettiness Soft Function for One Massive Colored Particle Production at Hadron Colliders
• Demonstration of One Cutoff Phase Space Slicing Method: Next-to-Leading Order QCD Corrections to the $tW$ Associated Production in Hadron Collision
• Measurement of single top-quark production in association with a $W$ boson in the single-lepton channel at $\sqrt{s}=8$ TeV with the ATLAS detector
• Momentum-space threshold resummation in $tW$ production at the LHC
• Analytic two-loop master integrals for $tW$ production at hadron colliders: I
• Next-to-next-to-leading order $N$-jettiness soft function for $tW$ production
• Observation of tW production in the single-lepton channel in pp collisions at $\sqrt{s}$ = 13 TeV
• Two-loop master integrals for the single top production associated with $W$ boson

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 $pp\to tW$