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One-loop amplitudes for four-point functions with two external massive quarks and two external massless partons up toO(ε2)

2005/11/30 by J. G. Körner, Jürgen Körner, Z. Merebashvili +1 · 1 citation
Mathematics · Physics and Astronomy · #Amplitude #Combinatorics #Computer science #Dimensional regularization #High-Energy Particle Collisions Research #Loop (graph theory) #Massless particle #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Parton #Photon #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Regularization (linguistics) #Renormalization #Scattering amplitude #hep-ph

paper · pdf · doi:10.1103/physrevd.73.034030

published as Phys.Rev. D73 (2006) 034030 · 25 pages, 6 figures in the text, Revtex, one reference added, minor improvements in the text, to appear in Phys.Rev.D

arxiv created 2006/02/23 · openalex publication_date 2006/02/27 · openalex created_date 2016/06/24 · arxiv updated 2016/08/16 · openalex updated_date 2026/08/05

Abstract

We present complete analytical O(\ensuremathε2) results on the one-loop amplitudes relevant for the next-to-next-to-leading order (NNLO) quark-parton model description of the hadroproduction of heavy quarks as given by the so-called loop-by-loop contributions. All results of the perturbative calculation are given in the dimensional regularization scheme. These one-loop amplitudes can also be used as input in the determination of the corresponding NNLO cross sections for heavy flavor photoproduction, and in photon-photon reactions.

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