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

Abstract

We finish the definition of a subtraction scheme for computing NNLO corrections to QCD jet cross sections. In particular, we perform the integration of the soft-type contributions to the doubly unresolved counterterms via the method of Mellin-Barnes representations. With these final ingredients in place, the definition of the scheme is complete and the computation of fully differential rates for electron-positron annihilation into two and three jets at NNLO accuracy becomes feasible.

33 pages, references added, exposition expanded, minor typos corrected. Version published in JHEP

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• NNLO QCD predictions for fully-differential top-quark pair production at the Tevatron
• Higgs boson decay into b-quarks at NNLO accuracy
• Tree-level splitting amplitudes for a quark into four collinear partons
• What is a parton shower?
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• Integration of collinear-type doubly unresolved counterterms in NNLO jet cross sections
• Efficient Evaluation of Massive Mellin--Barnes Integrals
• Fully exclusive heavy quark-antiquark pair production from a colourless initial state at NNLO in QCD
• Neutrino Splitting for Lorentz-Violating Neutrinos: Detailed Analysis
• Momentum mappings for subtractions at higher orders in QCD
• The real-virtual antenna functions for $S\to Q\bar{Q}X$ at NNLO QCD
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