Master Integrals for the 2-loop QCD virtual corrections to the Forward-Backward Asymmetry
arXiv:hep-ph/0311145 · doi:10.1016/j.nuclphysb.2004.04.011
Abstract
We present the Master Integrals needed for the calculation of the two-loop QCD corrections to the forward-backward asymmetry of a quark-antiquark pair produced in electron-positron annihilation events. The abelian diagrams entering in the evaluation of the vector form factors were calculated in a previous paper. We consider here the non-abelian diagrams and the diagrams entering in the computation of the axial form factors, for arbitrary space-like momentum transfer Q^2 and finite heavy quark mass m. Both the UV and IR divergences are regularized in the continuous D-dimensional scheme. The Master Integrals are Laurent-expanded around D=4 and evaluated by the differential equation method; the coefficients of the expansions are expressed as 1-dimensional harmonic polylogarithms of maximum weight 4.
38 pages, 6 figures, typos corrected, version accepted by Nucl. Phys. B
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