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


Aglietti, U; DelDuca, V; Duhr, C; Somogyi, G; Trócsányi, Z (2008). Analytic integration of real-virtual counterterms in NNLO jet cross sections I. Journal of High Energy Physics, (9):107.

Abstract

We present analytic evaluations of some integrals needed to give explicitly the integrated real-virtual counterterms, based on a recently proposed subtraction scheme for next-to-next-to-leading order (NNLO) jet cross sections. After an algebraic reduction of the integrals, integration-by-parts identities are used for the reduction to master integrals and for the computation of the master integrals themselves by means of differential equations. The results are written in terms of one- and two-dimensional harmonic polylogarithms, once an extension of the standard basis is made. We expect that the techniques described here will be useful in computing other integrals emerging in calculations in perturbative quantum field theories.

Abstract

We present analytic evaluations of some integrals needed to give explicitly the integrated real-virtual counterterms, based on a recently proposed subtraction scheme for next-to-next-to-leading order (NNLO) jet cross sections. After an algebraic reduction of the integrals, integration-by-parts identities are used for the reduction to master integrals and for the computation of the master integrals themselves by means of differential equations. The results are written in terms of one- and two-dimensional harmonic polylogarithms, once an extension of the standard basis is made. We expect that the techniques described here will be useful in computing other integrals emerging in calculations in perturbative quantum field theories.

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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
Language:English
Date:September 2008
Deposited On:06 Mar 2009 13:31
Last Modified:06 Dec 2017 18:56
Publisher:Institute of Physics Publishing
ISSN:1029-8479
Publisher DOI:https://doi.org/10.1088/1126-6708/2008/09/107
Related URLs:http://arxiv.org/abs/0807.0514

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