Antenna Subtraction at NNLO

Abstract

The computation of exclusive QCD jet observables at higher orders requires a method for the subtraction of infrared singular configurations arising from multiple radiation of real partons. We present a subtraction scheme relevant for NNLO perturbative calculations in $e^{+}{e}^{-}\to$ jets. The building blocks of the scheme are antenna functions derived from the matrix elements for tree-level $1\to 3$ and $1\to 4$ and one-loop $1\to 3$ processes. By construction, these building blocks have the correct infrared behaviour when one or two particles are unresolved. At the same time, their integral over the antenna phase space is straightforward. As an example of how to use the scheme we compute the NNLO contributions to the subleading colour QED-like contribution to $e^{+}{e}^{-}\to 3$ jets. To illustrate the application of NNLO antenna subtraction for different colour structures, we construct the integrated forms of the subtraction terms needed for the five-parton and four-parton contributions to $e^{+}{e}^{-}\to 3$ jets at NNLO in all colour factors, and show that their infrared poles cancel analytically with the infrared poles of the two-loop virtual correction to this observable.

97 pages, 10 figures, typos in formulae corrected

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• Universal Decomposition of Phase-Space Integrands
• Precise QCD predictions for jet production at the LHC
• Integrands of Less-Supersymmetric Yang-Mills at One Loop
• NNLO corrections to VBF Higgs boson production
• Local analytic sector subtraction for final state radiation at NNLO
• NNLO QCD Corrections to W+jet Production in NNLOJET
• Forward-backward asymmetries of the heavy quark pair production in $e^{+}{e}^{-}$ collisions at $\mathcal{O}({\alpha }_s^2)$
• Monte Carlo Event Generators for Future Lepton Colliders
• Two-loop tensor integral coefficients in OpenLoops
• On the reconstruction of kinematic distributions computed with Monte Carlo methods using orthogonal basis functions
• Fully differential Higgs boson pair production at N${}^3$LO with top quark mass effects
• $VH+\text{jet}$ production in hadron-hadron collisions up to order ${\alpha }_s^3$ in perturbative QCD
• CoLoRFulNNLO for hadron collisions: integrating the iterated single unresolved subtraction terms
• Higher-Order Corrections to Higgs Boson Amplitudes with Full Quark Mass Dependence in Quantum Chromodynamics
• Applications of higher order QCD
• A numerical approach to the double real radiation part of e+e- to 3 jets at NNLO
• Antenna subtraction method for jet calculations at NNLO
• IR subtraction schemes: integrating the counterterms at NNLO in QCD
• Multi-jet production in lepton-proton scattering at next-to-leading order accuracy
• A stroll through the loop-tree duality
• Progress on NNLO subtraction