Two-Loop QCD Corrections to the Heavy Quark Form Factors: Axial Vector Contributions

Abstract

We consider the Z Q Qbar vertex to second order in the QCD coupling for an on-shell massive quark-antiquark pair and for arbitrary momentum transfer of the Z boson. We present closed analytic expressions for the two parity-violating form factors of that vertex at the two-loop level in QCD, excluding the contributions from triangle diagrams. These form factors are expressed in terms of 1-dimensional harmonic polylogarithms of maximum weight 4.

57 pages, 5 figures. All the results in Section 6 of the paper are available in an electronic form in the file formulas.inc

References in corpus (11)

• Harmonic Polylogarithms
• Differential Equations for Two-Loop Four-Point Functions
• Differential Equations for Feynman Graph Amplitudes
• The renormalization of the axial anomaly in dimensional regularization
• The analytical value of the electron (g-2) at order alpha^3 in QED
• Numerical Evaluation of Harmonic Polylogarithms
• Two-loop QCD Corrections to the Heavy Quark Form Factors: the Vector Contributions
• The three loop on-shell renormalization of QCD and QED
• Master Integrals for the 2-loop QCD virtual corrections to the Forward-Backward Asymmetry
• QED vertex form factors at two loops
• Axial Contributions at the Top Threshold

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