Double collinear splitting amplitudes at next-to-leading order

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.

61 pages, 14 figures. Final version published in JHEP

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• The Two-loop Anomalous Dimension Matrix for Soft Gluon Exchange
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Cited by in corpus (22)

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• Fragmentation in Jets at NNLO
• Four-dimensional unsubtraction from the loop-tree duality
• QED corrections to the Altarelli-Parisi splitting functions
• Two-loop QED corrections to the Altarelli-Parisi splitting functions
• On the singular behaviour of scattering amplitudes in quantum field theory
• Factorization and Resummation for Generic Hierarchies between Jets
• Renormalization Group Flows for Track Function Moments
• Triple collinear splitting functions at NLO for scattering processes with photons
• Multiple soft radiation at one-loop order and the emission of a soft quark-antiquark pair
• Polarized triple-collinear splitting functions at NLO for processes with photons
• Two-loop splitting in double parton distributions
• Soft gluon-quark-antiquark emission in QCD hard scattering
• Multi-Collinear Splitting Kernels for Track Function Evolution
• Revisiting the double-soft asymptotics of one-loop amplitudes in massless QCD
• Dissecting the collinear structure of quark splitting at NNLL
• Triple-collinear splittings with massive particles
• Collinear functions for QCD resummations
• Anti-$k_T$ jet function at next-to-next-to-leading order
• The NNLO quark beam function for jet-veto resummation
• Two-loop anomalous dimensions for small-$R$ jet versus hadronic fragmentation functions
• Catani's generalization of collinear factorization breaking