Analytic integration of soft and collinear radiation in factorised QCD cross sections at NNLO

Abstract

Within the framework of local analytic sector subtraction, we present the full analytic integration of double-real and real-virtual local infrared counterterms that enter NNLO QCD computations with any number of massless final-state partons. We show that a careful choice of phase-space mappings leads to simple analytic results, including non-singular terms, that can be obtained with conventional integration techniques.

42 pages, matches version published in JHEP

References in corpus (21)

• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• Vector boson production at hadron colliders: a fully exclusive QCD calculation at NNLO
• A novel subtraction scheme for double-real radiation at NNLO
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• Lectures on differential equations for Feynman integrals
• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole
• Sector Decomposition
• The Two-loop Anomalous Dimension Matrix for Soft Gluon Exchange
• Four-dimensional formulation of the sector-improved residue subtraction scheme
• Vector-Boson Fusion Higgs Pair Production at N${}^3$LO
• Jet rates in electron-positron annihilation at O(α_s^3) in QCD
• Precise predictions for dijet production at the LHC
• From loops to trees by-passing Feynman's theorem
• Triphoton production at hadron colliders in NNLO QCD
• NNLO QCD corrections to three-photon production at the LHC
• Four-dimensional unsubtraction with massive particles
• A Tree-Loop Duality Relation at Two Loops and Beyond
• Analytic integration of real-virtual counterterms in NNLO jet cross sections I
• Analytic results for color-singlet production at NNLO QCD with the nested soft-collinear subtraction scheme
• Momentum mappings for subtractions at higher orders in QCD

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• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
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