Heavy-quark pair production at lepton colliders at NNNLO in QCD

Abstract

We compute the total cross-section and invariant mass distribution for heavy-quark pair production in $e^{+}{e}^{-}$ annihilation at the next-to-next-to-next-to-leading order in QCD. The obtained results are expressed as piecewise functions defined by several deeply expanded power series, facilitating a rapid numerical evaluation. Utilizing top-pair production at a collision energy of 500 GeV as a benchmark, we observe a correction of approximately $0.1\%$ for the total cross-section and around $10\%$ for the majority of the invariant mass distribution range. These results play a crucial role in significantly reducing theoretical uncertainty: the scale dependence has been diminished to $0.06\%$ for the total cross-section and to $5\%$ for the invariant mass distribution. This reduction of uncertainty meets the stringent requirements of future lepton colliders.

arXiv comment7 pages, 5 figures; invariant mass distribution for heavy-quark pair added; version published at PRL

References in corpus (38)

• Higgs boson production at hadron colliders in NNLO QCD
• JaxoDraw: A graphical user interface for drawing Feynman diagrams
• RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses
• LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals
• The renormalization of the axial anomaly in dimensional regularization
• Dilepton rapidity distribution in the Drell-Yan process at NNLO in QCD
• Three-Loop Polarization Function and $\mathcal{O}({\alpha }_s^2)$ Corrections to the Production of Heavy Quarks
• Version 3 of {\tt RunDec} and {\tt CRunDec}
• AMFlow: a Mathematica package for Feynman integrals computation via Auxiliary Mass Flow
• FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs
• A Systematic and Efficient Method to Compute Multi-loop Master Integrals
• Measurement of the top quark mass using proton-proton data at sqrt(s) = 7 and 8 TeV
• Tops from Light Quarks: Full Mass Dependence at Two-Loops in QCD
• The three loop on-shell renormalization of QCD and QED
• Facts of life with gamma(5)
• Heavy-quark production in gluon fusion at two loops in QCD
• Reconstruction of heavy quark current correlators at O(α_s^3)
• Next-to-next-to-next-to-leading order QCD prediction for the top anti-top S-wave pair production cross section near threshold in e+ e- annihilation
• Virtual amplitudes and threshold behaviour of hadronic top-quark pair-production cross sections
• Measurement of the top quark mass in the $t\bar{t}\to$ lepton+jets channel from $\sqrt{s}=8$ TeV ATLAS data and combination with previous results
• Multiloop corrections for collider processes using auxiliary mass flow
• NLO Higgs boson rapidity distribution at hadron colliders
• Determining Feynman integrals with only input from linear algebra
• Heavy Quark Vacuum Polarization Function at O(alpha_s^2) and O(alpha_s^3)
• Top-Quark Physics at the CLIC Electron-Positron Linear Collider
• Determine Arbitrary Feynman Integrals by Vacuum Integrals
• The Top-Antitop Threshold at the ILC: NNLL QCD Uncertainties
• Massive vector form factors to three loops
• Complete reduction of integrals in two-loop five-light-parton scattering amplitudes
• BOKASUN: a fast and precise numerical program to calculate the Master Integrals of the two-loop sunrise diagrams
• Calculation of Feynman loop integration and phase-space integration via auxiliary mass flow
• Near-threshold production of heavy quarks with QQbar_threshold
• Top-quark forward-backward asymmetry in e+e- annihilation at NNLO in QCD
• Electroweak prodution of top-quark pairs in e+e- annihilation at NNLO in QCD: the vector contributions
• An observation on Feynman diagrams with axial anomalous subgraphs in dimensional regularization with an anticommuting ${\gamma }_5$
• Renormalization of the flavor-singlet axial-vector current and its anomaly in dimensional regularization
• Top-quark pair production at next-to-next-to-leading order QCD in electron positron collisions
• Singlet and non-singlet three-loop massive form factors

Cited by in corpus (8)

• Electroweak corrections to double Higgs production at the LHC
• Toponium: the smallest bound state and simplest hadron in quantum mechanics
• Reanalysis of the top-quark pair production via the $e^{+}{e}^{-}$ annihilation near the threshold region up to N${}^3$LO QCD corrections
• A detailed study on the prospects for a $\mathrm{t}\overline{\mathrm{t}}$ threshold scan in ${\mathrm{e}}^{+}{\mathrm{e}}^{-}$ collisions
• Analytic NNLO QCD corrections to top quark pair production in electron-positron collisions
• Two-loop mixed QCD-electroweak amplitudes for $Z+$jet production at the LHC: bosonic corrections
• Monte Carlo Event Generators for Future Lepton Colliders
• Three-loop QCD Mass Relation between the $\overline{\mathrm{MS}}$ and Symmetric-momentum Subtraction Scheme Away from the Chiral Limit