Relativistic corrections to gluon fragmentation into spin-triplet S-wave quarkonium

Details Relativistic corrections to gluon fragmentation into spin-triplet S-wave quarkonium Relativistic corrections to gluon fragmentation into spin-triplet S-wave quarkonium

2003-08-01

arxiv.org/abs/hep-ph/0308016v2

Phys.Rev. D69 (2004) 054003

Physics

High Energy Physics

High Energy Physics - Phenomenology

version to appear in Phys. Rev. D, 19 pages, RevTeX, 3 Postscript figures, Mathematica notebook file integrands.nbx contains c

Scientific paper

10.1103/PhysRevD.69.054003

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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