A subtraction scheme for computing QCD jet cross sections at NNLO

Integrating the iterated singly-unresolved subtraction terms

Paolo Bolzoni, Gábor Somogyi, Z. Trócsányi

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

We perform the integration of all iterated singly-unresolved subtraction terms, as defined in ref. [1], over the two-particle factorized phase space. We also sum over the unresolved parton flavours. The final result can be written as a convolution (in colour space) of the Born cross section and an insertion operator. We spell out the insertion operator in terms of 24 basic integrals that are defined explicitly. We compute the coefficients of the Laurent expansion of these integrals in two different ways, with the method of Mellin-Barnes representations and sector decomposition. Finally, we present the Laurent-expansion of the full insertion operator for the specific examples of electron-positron annihilation into two and three jets.

Original languageEnglish
Article number059
JournalJournal of High Energy Physics
Volume2011
Issue number1
DOIs
Publication statusPublished - 2011

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subtraction
insertion
quantum chromodynamics
operators
cross sections
expansion
positron annihilation
convolution integrals
partons
sectors
color
decomposition
coefficients

Keywords

  • Jets
  • QCD

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

A subtraction scheme for computing QCD jet cross sections at NNLO : Integrating the iterated singly-unresolved subtraction terms. / Bolzoni, Paolo; Somogyi, Gábor; Trócsányi, Z.

In: Journal of High Energy Physics, Vol. 2011, No. 1, 059, 2011.

Research output: Contribution to journalArticle

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