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

2000/09/10 by Jungil Lee, Lee, Jungil
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0009111

20 pages, 4 figures

arxiv created 2000/09/10 · arxiv updated 2009/11/30

Abstract

Next-to-leading order corrections to fragmentation functions in a light-cone gauge are discussed. This gauge simplifies the calculation by eliminating many Feynman diagrams at the expense of introducing spurious poles in loop integrals. As an application, the short-distance coefficients for the color-octet ³S₁ term in the fragmentation function for a gluon to split into polarized heavy quarkonium states are re-calculated to order α_s². We show that the ill-defined spurious poles cancel and the appropriate prescriptions for the remaining spurious poles can be determined by calculating a subset of the diagrams in the Feynman gauge. Our answer agrees with the recent calculation of Braaten and Lee in the Feynman gauge, but disagrees with another previous calculation.

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