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Double collinear splitting amplitudes at next-to-leading order

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arxiv 1310.6841 v2 pith:XTRTBJ63 submitted 2013-10-25 hep-ph hep-th

German F. R. Sborlini , Daniel de Florian , German Rodrigo This is my paper
classification hep-phhep-th
keywords amplitudesschemescollineardifferentdoubledregnext-to-leadingorder
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We compute the next-to-leading order (NLO) QCD corrections to the $1 \to 2$ splitting amplitudes in different dimensional regularization (DREG) schemes. Besides recovering previously known results, we explore new DREG schemes and analyze their consistency by comparing the divergent structure with the expected behavior predicted by Catani's formula. Through the introduction of scalar-gluons, we show the relation among splittings matrices computed using different schemes. Also, we extended this analysis to cover the double collinear limit of scattering amplitudes in the context of QCD+QED.

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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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