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.

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