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

Abstract

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.

30 pages, 9 figures

References in corpus (14)

• AMFlow: a Mathematica package for Feynman integrals computation via Auxiliary Mass Flow
• Quark mass relations to four-loop order
• Reconstruction of heavy quark current correlators at O(α_s^3)
• Determining Feynman integrals with only input from linear algebra
• Top-quark electroweak couplings at the FCC-ee
• 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
• $\epsilon$-regular basis for non-polylogarithmic multiloop integrals and total cross section of the process $e^{+}{e}^{-}\to 2(Q\bar{Q})$
• Heavy-quark pair production at lepton colliders at NNNLO in QCD
• Analytic two-loop master integrals for $tW$ production at hadron colliders: I
• Analytic decay width of the Higgs boson to massive bottom quarks at next-to-next-to-leading order in QCD
• Reanalysis of the top-quark pair production via the $e^{+}{e}^{-}$ annihilation near the threshold region up to N${}^3$LO QCD corrections
• Top and bottom quark forward-backward asymmetries at next-to-next-to-leading order QCD in (un)polarized electron positron collisions
• Revisiting the top-quark pair production at future $e^{+}{e}^{-}$ colliders

Cited by in corpus (2)

• Analytic decay width of the Higgs boson to massive bottom quarks at order ${\alpha }_s^3$
• Higgs boson decay to massive bottom quarks at order ${\alpha }_s^4$ induced by top-quark Yukawa couplings