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

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arxiv 1912.06425 v2 pith:T3WO553X submitted 2019-12-13 hep-ph

Vittorio Del Duca , Claude Duhr , Rayan Haindl , Achilleas Lazopoulos , Martin Michel This is my paper · ORCID
classification hep-ph
keywords collinearpartonsamplitudesbecomefourlimitotherquark
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abstract

We compute in conventional dimensional regularisation the tree-level splitting amplitudes for a quark parent in the limit where four partons become collinear to each other. This is part of the universal infrared behaviour of the QCD scattering amplitudes at next-to-next-to-next-to-leading order (${\rm N^3LO}$) in the strong coupling constant. Further, we consider the iterated limit when $m'$ massless partons become collinear to each other within a bigger set of $m$ collinear partons, as well as the limits when one gluon or a $q\bar{q}$ pair or two gluons become soft within a set of $m$ collinear partons.

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Cited by 4 Pith papers

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