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 (N3LO) 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\( \overline{q} \) pair or two gluons become soft within a set of m collinear partons.
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ArXiv ePrint: 1912.06425
1On leave from INFN, Laboratori Nazionali di Frascati, Italy.
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Del Duca, V., Duhr, C., Haindl, R. et al. Tree-level splitting amplitudes for a quark into four collinear partons. J. High Energ. Phys. 2020, 189 (2020). https://doi.org/10.1007/JHEP02(2020)189
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DOI: https://doi.org/10.1007/JHEP02(2020)189