Next-to-leading order Calculation of a Fragmentation Function in a Light-Cone Gauge

Details Next-to-leading order Calculation of a Fragmentation Function in a Light-Cone Gauge Next-to-leading order Calculation of a Fragmentation Function in a Light-Cone Gauge

2005-04-29

arxiv.org/abs/hep-ph/0504285v1

Phys.Rev. D71 (2005) 094007

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, 4 figures, version published in Physical Review D

Scientific paper

10.1103/PhysRevD.71.094007

The short-distance coefficients for the color-octet ^3S_1 term in the fragmentation function for a gluon to split into polarized heavy quarkonium states are re-calculated to order alpha_s^2. The light-cone gauge remarkably simplifies the calculation by eliminating many Feynman diagrams at the expense of introducing spurious poles in loop integrals. We do not use any conventional prescriptions for spurious pole. Instead, we only use gauge invariance with the aid of Collins-Soper definition of the fragmentation function. Our result agrees with a previous calculation of Braaten and Lee in the Feynman gauge, but disagrees with another previous calculation.

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