Tree-level splitting amplitudes for a gluon into four collinear partons

Del Duca, Vittorio;Duhr, Claude;Haindl, Rayan;Lazopoulos, Achilleas;Michel, Martin
(2020) Journal of High Energy Physics — Vol. 2020, n° 10 (2020)

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Authors
  • Del Duca, VittorioETH Zürich
    Author
  • Duhr, ClaudeCERN, Geneva
    Author
  • Haindl, RayanETH Zürich
    Author
  • Lazopoulos, AchilleasETH Zürich
    Author
  • Michel, MartinUCLouvain
    Author
Abstract
We compute in conventional dimensional regularisation the tree-level splitting amplitudes for a gluon parent which splits into four collinear partons. This is part of the universal infrared behaviour of the QCD scattering amplitudes at next-to-next-to-next-to-leading order (N3LO) in the strong coupling constant. Combined with our earlier results for a quark parent, this completes the set of tree-level splitting amplitudes required at this order. We also study iterated collinear limits where a subset of the four collinear partons become themselves collinear.
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Del Duca, V., Duhr, C., Haindl, R., Lazopoulos, A., & Michel, M. (2020). Tree-level splitting amplitudes for a gluon into four collinear partons. Journal of High Energy Physics, 2020(10). https://doi.org/10.1007/jhep10(2020)093 (Original work published 2020)