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

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...

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Veröffentlicht in:arXiv.org 2009-05
Hauptverfasser: Bolzoni, P, Moch, S, Somogyi, G, Trocsanyi, Z
Format: Artikel
Sprache:eng
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Zusammenfassung: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 \(4-2\epsilon\) 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.
ISSN:2331-8422
DOI:10.48550/arxiv.0905.4390