Dimensional Regularization in Quarkonium Calculations

Abstract

Dimensional regularization is incompatible with the standard covariant projection methods that are used to calculate the short-distance coefficients in inclusive heavy quarkonium production and annihilation rates. A new method is developed that allows dimensional regularization to be used consistently to regularize the infrared and ultraviolet divergences that arise in these perturbative calculations. We illustrate the method by calculating the leading color-octet terms and the leading color-singlet terms in the gluon fragmentation functions for arbitrary quarkonium states. We resolve a discrepancy between two previous calculations of the gluon fragmentation functions for the spin-triplet P-wave quarkonium states.

References in corpus (7)

• 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
• Gluon Fragmentation into P-wave Heavy Quarkonium
• Helicity Decomposition for Inclusive $J/\psi$ Production
• Gluon Fragmentation into Spin-Triplet S-Wave Quarkonium
• Gluon fragmentation into polarized charmonium

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