Double collinear splitting amplitudes at next-to-leading order

2013/10/31 by Germán F. R. Sborlini, German F. R. Sborlini, Daniel de Florian +2 · 42 citations
Physics and Astronomy · #Amplitude #Consistency (knowledge bases) #Context (archaeology) #High-Energy Particle Collisions Research #Limit (mathematics) #Order (exchange) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Regularization (linguistics) #Scattering amplitude #hep-ph #hep-th

paper · pdf · doi:10.1007/jhep01(2014)018

published in Journal of High Energy Physics 2014(1) (Springer Nature) · 61 pages, 14 figures. Final version published in JHEP

openalex publication_date 2014/01/01 · arxiv created 2014/01/14 · arxiv updated 2014/01/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

We compute the next-to-leading order (NLO) QCD corrections to the 1 → 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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