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

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arxiv 2209.14259 v3 pith:AXC3JMGP submitted 2022-09-28 hep-ph hep-ex

Xiang Chen , Xin Guan , Chuan-Qi He , Xiao Liu , Yan-Qing Ma This is my paper · ORCID
classification hep-phhep-ex
keywords cross-sectiondistributioninvariantmassproductiontotalcollidersheavy-quark
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Forward citations

Cited by 4 Pith papers

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  4. LINE: Loop Integrals Numerical Evaluation

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