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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
Communities & Collections:07 Faculty of Science > Institute for Computational Science
Dewey Decimal Classification:530 Physics
Uncontrolled Keywords:Jets; QCD
Language:English
Date:2009
Deposited On:22 Feb 2010 11:28
Last Modified:07 Dec 2017 00:52
Publisher:Institute of Physics Publishing
ISSN:1029-8479
Publisher DOI:https://doi.org/10.1088/1126-6708/2009/08/079
Related URLs:http://arxiv.org/abs/0905.4390

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