Two-loop splitting functions in QCD

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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28 pages, 3 encapsulated postscript figures, JHEP3 class

Scientific paper

10.1088/1126-6708/2004/07/040

We present the universal two-loop splitting functions that describe the limits of two-loop $n$-point amplitudes of massless particles when two of the momenta are collinear. To derive the splitting amplitudes, we take the collinear limits of explicit two-loop four-point helicity amplitudes computed in the 't Hooft-Veltman scheme. The $g \to gg$ splitting amplitude has recently been computed using the unitarity sewing method and we find complete agreement with the results of Ref. \cite{Bern:2lsplit}. The two-loop $q \to qg$ and $g \to q\bar q$ splitting functions are new results. We also provide an expression for the two-loop soft splitting function.

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