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arXiv · 2209.14259

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

Xiang Chen·Xin Guan·Chuan-Qi He·Xiao Liu·Yan-Qing Ma
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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.

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Xiang Chen, Xin Guan, Chuan-Qi He, Xiao Liu, Yan-Qing Ma. 2022-09-28. Heavy-quark pair production at lepton colliders at NNNLO in QCD. https://doi.org/10.1103/physrevlett.132.101901

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