Double virtual QCD corrections to $t\bar{t}+$jet production at the LHC

Abstract

We present a leading colour computation of the double virtual contributions to top-quark pair production in association with a jet at a hadron collider at next-to-next-to-leading order in QCD. The finite remainders of the two-loop amplitudes, after subtraction of infrared and ultraviolet divergences, are extracted analytically from evaluations over finite fields by using a (potentially) overcomplete basis of special functions defined through their differential equations. We construct the colour- and spin-summed interference with the tree-level amplitudes and present a \texttt{C++} library suitable for immediate use in phenomenological studies. We present new techniques for the evaluation of the special functions through direct numerical integration of differential equations which perform well across the full physical phase space.

29 pages, 1 figure, ancillary files at https://doi.org/10.5281/zenodo.17541755 -- v2: published version

References in corpus (41)

• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• Integral Reduction with Kira 2.0 and Finite Field Methods
• Scattering amplitudes over finite fields and multivariate functional reconstruction
• AMFlow: a Mathematica package for Feynman integrals computation via Auxiliary Mass Flow
• FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs
• NLO QCD corrections to t tbar + jet production at hadron colliders
• Tops from Light Quarks: Full Mass Dependence at Two-Loops in QCD
• Analytic Form of the Planar Two-Loop Five-Gluon Scattering Amplitudes in QCD
• Pentagon Functions for Scattering of Five Massless Particles
• A first next-to-next-to-leading order study of three-jet production at the LHC
• Triphoton production at hadron colliders in NNLO QCD
• NNLO QCD corrections to three-photon production at the LHC
• Pentagon Functions for One-Mass Planar Scattering Amplitudes
• Two-loop QCD corrections to $Wb\bar{b}$ production at hadron colliders
• Leading-Color Two-Loop Amplitudes for Four Partons and a W Boson in QCD
• Tensor decomposition for bosonic and fermionic scattering amplitudes
• Two-loop helicity amplitudes for diphoton plus jet production in full color
• Higgs boson production in association with a top-antitop quark pair in next-to-next-to leading order QCD
• Off-shell Top Quarks with One Jet at the LHC: A comprehensive analysis at NLO QCD
• NNLO fermionic corrections to the charm quark mass dependent matrix elements in B -> X_s gamma
• Two-Loop Hexa-Box Integrals for Non-Planar Five-Point One-Mass Processes
• Analytic representation of all planar two-loop five-point Master Integrals with one off-shell leg
• Isolated photon production in association with a jet pair through next-to-next-to-leading order in QCD
• Precise predictions for the associated production of a $W$ boson with a top-antitop quark pair at the LHC
• Next-to-leading order QCD corrections to diphoton-plus-jet production through gluon fusion at the LHC
• NNLO QCD corrections to event shapes at the LHC
• Associated production of a $W$ boson and massive bottom quarks at next-to-next-to-leading order in QCD
• Exact top-quark mass dependence in hadronic Higgs production
• Two-Loop QCD Corrections for Three-Photon Production at Hadron Colliders
• Two-Loop Master Integrals for Leading-Color $pp\to t\bar{t}H$ Amplitudes with a Light-Quark Loop
• Two-loop leading colour QCD helicity amplitudes for top quark pair production in the gluon fusion channel
• Lepton-pair scattering with an off-shell and an on-shell photon at two loops in massless QED
• Two-loop master integrals for a planar topology contributing to $pp\to t\bar{t}j$
• Ansätze for Scattering Amplitudes from $p$-adic Numbers and Algebraic Geometry
• Zero-jettiness resummation for top-quark pair production at the LHC
• One-loop QCD helicity amplitudes for $pp\to t\bar{t}j$ to $O({\epsilon }^2)$
• Full-colour double-virtual amplitudes for associated production of a Higgs boson with a bottom-quark pair at the LHC
• Numerical evaluation of two-loop QCD helicity amplitudes for $gg\to t\bar{t}g$ at leading colour
• Phenomenology of $t\bar{t}j+X$ production at the LHC
• Canonical differential equations for the elliptic two-loop five-point integral family relevant to $t\bar{t}+$jet production at leading colour
• Learning the Simplicity of Scattering Amplitudes

Cited by in corpus (2)

• Top-Yukawa contributions to $pp\to b\bar{b}H$: two-loop leading-colour amplitudes
• $\text{history}$: A tool for fully-differential cross sections at next-to-next-to-leading order