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Multi-Gluon Collinear Limits from MHV diagrams

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arxiv hep-ph/0503063 v1 pith:AI6VUODO submitted 2005-03-07 hep-ph hep-th

classification hep-phhep-th
keywords collineargluonsamplitudeshelicitylimitsmulti-gluontreearbitrary
verification ladder T0 review T1 audit T2 compute T3 formal
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We consider the multi-collinear limit of multi-gluon QCD amplitudes at tree level. We use the MHV rules for constructing colour ordered tree amplitudes and the general collinear factorization formula to derive timelike splitting functions that are valid for specific numbers of negative helicity gluons and an arbitrary number of positive helicity gluons (or vice versa). As an example we present new results describing the collinear limits of up to six gluons.

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  1. Infrared singularities and the collinear limits of multi-leg scattering amplitudes

    hep-ph 2025-07 conditional novelty 6.0 of 10

    Using colour conservation and rescaling symmetry, the two-particle collinear constraints are shown to imply multi-particle collinear factorisation through four loops, and a new triple-collinear constraint is derived f...

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