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Analytic NNLO QCD corrections to top quark pair production in electron-positron collisions

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arxiv 2405.18912 v2 pith:CUOLUWS4 submitted 2024-05-29 hep-ph

Analytic NNLO QCD corrections to top quark pair production in electron-positron collisions

classification hep-ph
keywords nnloanalyticcorrectionspairproductionquarkcrosselectron-positron
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present the analytic total cross section of top quark pair production in electron-positron annihilation at next-to-next-to-leading order (NNLO) in Quantum Chromodynamics (QCD). By utilizing the optical theorem, the NNLO corrections are related to the imaginary parts of three-loop self-energy Feynman diagrams, of which the master integrals are calculated with canonical differential equations. The analytic results for the NNLO corrections are expressed in terms of multiple polylogarithms as well as elliptic functions. We discuss the asymptotic expansions near the threshold and in the high energy limit in detail. Numerical results are provided for the total cross section of top quark pair production at future lepton colliders.

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  1. Higgs boson decay to massive bottom quarks at order $\alpha_s^4$ induced by top-quark Yukawa couplings

    hep-ph 2026-03 accept novelty 7.0

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