Abstract
We present a general subtraction scheme for NNLO calculations in massless QCD: the colourful antenna subtraction method. It is a reformulation of the antenna subtraction approach designed to address some of the limitations of the traditional framework, especially aiming at high-multiplicity processes. In the context of the new formalism, structures needed to locally subtract the infrared-divergent behaviour of real emission corrections are systematically inferred from virtual subtraction terms, relying on the cancellation of infrared singularities and on the correspondence between integrated and unintegrated antenna functions. We illustrate in detail how the colourful antenna subtraction method works up to NNLO. The algorithm is particularly suited to be fully automated for the generation of NNLO subtraction terms for generic processes. We employ the new formalism to assemble the subtraction terms required for the calculation of the NNLO correction to hadronic three-jet production and describe their validation procedure.
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Acknowledgments
We thank Xuan Chen, James Currie, Aude Gehrmann-De Ridder, Alexander Huss, Jonathan Mo and Joao Pires for their contributions to the jet production processes in NNLOjet. We are very grateful to Oscar Braun-White and Xuan Chen for helpful discussions and suggestions on the manuscript. This work was supported by the Swiss National Science Foundation (SNF) under contract 200020-204200, by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme grant agreement 101019620 (ERC Advanced Grant TOPUP) and by the U.K. Science and Technology Facilities Council (STFC) under grant ST/X000745/1.
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Gehrmann, T., Glover, E.W.N. & Marcoli, M. The colourful antenna subtraction method. J. High Energ. Phys. 2024, 114 (2024). https://doi.org/10.1007/JHEP03(2024)114
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DOI: https://doi.org/10.1007/JHEP03(2024)114