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arXiv · 0905.4390

Analytic integration of real-virtual counterterms in NNLO jet cross sections II

P. Bolzoni·S. Moch·G. Somogyi·Z. Trocsanyi
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Abstract

We present analytic expressions of all integrals required to complete the explicit evaluation of the real-virtual integrated counterterms needed to define a recently proposed subtraction scheme for jet cross sections at next-to-next-to-leading order in QCD. We use the Mellin-Barnes representation of these integrals in $4-2ε$ dimensions to obtain the coefficients of their Laurent expansions around $ε=0$. These coefficients are given by linear combinations of multidimensional Mellin-Barnes integrals. We compute the coefficients of such expansions in $ε$ both numerically and analytically by complex integration over the Mellin-Barnes contours.

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P. Bolzoni, S. Moch, G. Somogyi, Z. Trocsanyi. 2009-05-27. Analytic integration of real-virtual counterterms in NNLO jet cross sections II. https://doi.org/10.1088/1126-6708/2009/08/079

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