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

Ugo Aglietti, Vittorio Del Duca, Claude Duhr, Gbor Somogyi, Z. Trócsányi

Research output: Contribution to journalArticle

44 Citations (Scopus)

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.

Original languageEnglish
Article number107
JournalJournal of High Energy Physics
Volume2008
Issue number9
DOIs
Publication statusPublished - Sep 1 2008

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cross sections
subtraction
emerging
differential equations
harmonics
evaluation

Keywords

  • Jets
  • QCD

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Analytic integration of real-virtual counterterms in NNLO jet cross sections i. / Aglietti, Ugo; Del Duca, Vittorio; Duhr, Claude; Somogyi, Gbor; Trócsányi, Z.

In: Journal of High Energy Physics, Vol. 2008, No. 9, 107, 01.09.2008.

Research output: Contribution to journalArticle

Aglietti, Ugo ; Del Duca, Vittorio ; Duhr, Claude ; Somogyi, Gbor ; Trócsányi, Z. / Analytic integration of real-virtual counterterms in NNLO jet cross sections i. In: Journal of High Energy Physics. 2008 ; Vol. 2008, No. 9.
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