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

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.

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

References in corpus (22)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Color-Octet Fragmentation and the psi' Surplus at the Tevatron
• Gluon Fragmentation into Heavy Quarkonium
• Quarkonium Production at High-Energy Colliders
• Measurement of J/Psi and Psi(2S) Polarization in ppbar Collisions at sqrt(s) = 1.8 TeV
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• Fragmentation production of J/psi and psi' at the Tevatron
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• Spin symmetry predictions for heavy quarkonia alignment
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• Annihilation of S-wave quarkonia and the measurement of alpha_s
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• Quarkonium Decay Matrix Elements from Quenched Lattice QCD
• Gluon Fragmentation into Spin-Triplet S-Wave Quarkonium
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• Calculating Fragmentation Functions from Definitions
• Polarized J/psi from chi_{cJ} and psi' Decays at the Tevatron
• Next-to-leading Order Calculation of the Color-Octet 3S1 Gluon Fragmentation Function for Heavy Quarkonium
• Polarization of Upsilon(nS) at the Tevatron
• Renormalon Ambiguities in NRQCD Operator Matrix Elements
• Lattice Calculation of Quarkonium Decay Matrix Elements
• Decays rates for S- and P-wave bottomonium

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