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.
@article{arxiv.hep-ph/0311145,
title = {Master Integrals for the 2-loop QCD virtual corrections to the Forward-Backward Asymmetry},
author = {R. Bonciani and P. Mastrolia and E. Remiddi},
journal= {arXiv preprint arXiv:hep-ph/0311145},
year = {2009}
}
Comments
38 pages, 6 figures, typos corrected, version accepted by Nucl. Phys. B