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.

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

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Cited by in corpus (8)

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• 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