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2020

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

Del Duca, Vittorio, Duhr, Claude, Haindl, Rayan et al.

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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.

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

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