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

Bolzoni, P; Moch, S O; Somogyi, G; Trócsányi, Z (2009). Analytic integration of real-virtual counterterms in NNLO jet cross sections II. Journal of High Energy Physics, (8):079 .

## 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 − 2epsilon dimensions to obtain the coefficients of their Laurent expansions around epsilon = 0. These coefficients are given by linear combinations of multidimensional Mellin-Barnes integrals. We compute the coefficients of such expansions in epsilon both numerically and analytically by complex integration over the Mellin-Barnes contours.

## 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 − 2epsilon dimensions to obtain the coefficients of their Laurent expansions around epsilon = 0. These coefficients are given by linear combinations of multidimensional Mellin-Barnes integrals. We compute the coefficients of such expansions in epsilon both numerically and analytically by complex integration over the Mellin-Barnes contours.

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## Additional indexing

Item Type: Journal Article, refereed, original work 07 Faculty of Science > Institute for Computational Science 530 Physics Jets; QCD English 2009 22 Feb 2010 11:28 05 Apr 2016 13:56 Institute of Physics Publishing 1029-8479 https://doi.org/10.1088/1126-6708/2009/08/079 http://arxiv.org/abs/0905.4390

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