Two-Loop integrals for CP-even heavy quarkonium production and decays

Abstract

By employing the method of differential equations, we compute the various types of two-loop master integrals involved in CP-even heavy quarkonium exclusive production and decays. All the integrals presented in this paper can be casted into canonical forms and expressed in terms of Goncharov polylogarithms and Harmonic polylogarithms. These master integrals are frequently used in the calculation of NNLO corrections of the heavy quarkonium production processes, as ${\gamma }^{\ast }\gamma \to Q\bar{Q}$, $e^{+}{e}^{-}\to \gamma +Q\bar{Q}$, and $H/Z^0\to \gamma +Q\bar{Q}$, and decay processes. They are also applicable in the calculation of NNLO corrections to CP-even quarkonium inclusive production and decay processes.

arXiv comment33 pages, 2 figures

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• Higgs Boson Production at Hadron Colliders at N3LO in QCD
• Two-loop diagrams in non-relativistic QCD with elliptics
• Two-Loop integrals for CP-even heavy quarkonium production and decays: Elliptic Sectors
• Master integrals of a planar double-box family for top-quark pair production
• Analytic two-loop amplitudes for $tW$ production: leading color and light fermion-loop contributions
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• Kinematic distributions of the ${\eta }_c$ photoproduction in $ep$ collisions within the nonrelativistic QCD framework
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• Transition Form-Factor for ${\eta }_Q$ at NNLO in the strong coupling ${\alpha }_s$ and with all-order $v^2$ resummation