TTP03-34 Master Integrals for the 2-loop QCD virtual corrections to the Forward-Backward Asymmetry

TTP03-34 Master Integrals for the 2-loop QCD virtual corrections to the Forward-Backward Asymmetry

TTP03-34 Master Integrals for the 2-loop QCD virtual corrections to the Forward-Backward Asymmetry

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.

R. Bonciani, P. Mastrolia and E. Remiddi
Nucl. Phys. B 690 138-176 2004
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