A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the iterated singly-unresolved subtraction terms

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.

83 pages, one reference added, typos corrected, agrees with published version

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• Momentum mappings for subtractions at higher orders in QCD
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• Asymptotic behavior of angular integrals in the massless limit
• Angular integrals with three denominators via IBP, mass reduction, dimensional shift, and differential equations
• Analytic double-soft integrated subtraction terms for two massive emitters in a back-to-back kinematics
• PDF fit in the fixed-flavor-number scheme
• QED and QCD self-energy corrections through the loop-tree duality
• CoLoRFulNNLO for hadron collisions: integrating the iterated single unresolved subtraction terms