Journal
PHYSICAL REVIEW D
Volume 72, Issue 11, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.72.114012
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We discuss heavy quarkonium production through parton fragmentation, including a review of arguments for the factorization of high-p(T) particles into fragmentation functions for hadronic initial states. We investigate the further factorization of fragmentation functions in the nonrelativistic QCD (NRQCD) formalism, and argue that this requires a modification of NRQCD octet production matrix elements to include non-Abelian phases, which makes them gauge invariant. We describe the calculation of uncanceled infrared divergences in fragmentation functions that must be factorized at next-to-next-to-leading order, and verify that they are absorbed into the new, gauge-invariant matrix elements.
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