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Relativistic corrections to gluon fragmentation into spin-tripletS-wave quarkonium

2003/08/31 by Geoffrey T. Bodwin, Jungil Lee · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.69.054003

published as Phys.Rev. D69 (2004) 054003 · version to appear in Phys. Rev. D, 19 pages, RevTeX, 3 Postscript figures, Mathematica notebook file integrands.nbx contains color-singlet integrands

arxiv created 2004/01/23 · openalex publication_date 2004/03/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We use the NRQCD factorization formalism to calculate the relativistic corrections to the fragmentation function for a gluon fragmenting into a spin-triplet S-wave heavy quarkonium. We make use of the gauge-invariant formulation of the fragmentation function of Collins and Soper. The color-octet contribution receives a large, negative relativistic correction, while the color-singlet contribution receives a large, positive relativistic correction. The considerable decrease in the color-octet contribution requires a corresponding increase in the phenomenological value of the leading color-octet matrix element in order to maintain a fit to the Fermilab Tevatron data.

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