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

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arxiv 2007.05345 v1 pith:A2JRHKMW submitted 2020-07-08 hep-ph

Vittorio Del Duca , Claude Duhr , Rayan Haindl , Achilleas Lazopoulos , Martin Michel This is my paper · ORCID
classification hep-ph
keywords collinearamplitudesfourpartonssplittingtree-levelgluonorder
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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 (N$^3$LO) 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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Cited by 4 Pith papers

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