Tree-level soft emission of a quark pair in association with a gluon

Autor: Vittorio Del Duca, Claude Duhr, Rayan Haindl, Zhengwen Liu
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2023, Iss 1, Pp 1-32 (2023)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP01(2023)040
Popis: Abstract We compute the tree-level current for the emission of a soft quark-antiquark pair in association with a gluon. This soft current is the last missing ingredient to understand the infrared singularities that can arise in next-to-next-to-next-to-leading-order (N3LO) computations in QCD. Its square allows us to understand for the first time the colour correlations induced by the soft emission of a quark pair and a gluon. We find that there are three types of correlations: besides dipole-type correlations that have already appeared in soft limits of tree-level amplitudes, we uncover for the first time also a three-parton correlation involving a totally symmetric structure constant. We also study the behaviour of collinear splitting amplitudes in the triple-soft limit, and we derive the corresponding factorisation formula.
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