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Heavy Quarkonium Production at Collider Energies: Factorization and Evolution

2014/01/31 by Zhong-Bo Kang, Yan-Qing Ma, Jian-Wei Qiu +1 · 1 citation
Physics and Astronomy · #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevd.90.034006

published as Phys. Rev. D 90, 034006 (2014) · 70 pages and 26 figures, the published version

arxiv created 2014/11/10 · arxiv updated 2014/11/11

Abstract

We present a factorization formalism for inclusive production of heavy quarkonia of large transverse momentum, pT at collider energies, including both leading power (LP) and next-to-leading power (NLP) behavior in pT. We demonstrate that both LP and NLP contributions can be factorized in terms of perturbatively calculable short-distance partonic coefficient functions and universal non-perturbative fragmentation functions, and derive the evolution equations that are implied by the factorization. We identify projection operators for all channels of the factorized LP and NLP infrared safe short-distance partonic hard parts, and corresponding operator definitions of fragmentation functions. For the NLP, we focus on the contributions involving the production of a heavy quark pair, a necessary condition for producing a heavy quarkonium. We evaluate the first non-trivial order of evolution kernels for all relevant fragmentation functions, and discuss the role of NLP contributions.

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