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Heavy quarkonium fragmentation functions from a heavy quark pair. II.Pwave

2014/01/31 by Yan-Qing Ma, Jian-Wei Qiu, Hong Zhang · 1 citation
Mathematics · Physics and Astronomy · #Algorithm #Factorization #Fragmentation function #High-Energy Particle Collisions Research #Lambda #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Parton #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Quarkonium #Wave function #Weierstrass factorization theorem #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevd.89.094030

published as Phys. Rev. D 89, 094030 (2014) · 38 pages, 3 figures, typos corrected, references added, version accepted by Journal

arxiv created 2014/05/14 · openalex publication_date 2014/05/29 · arxiv updated 2014/06/11 · openalex created_date 2022/05/12 · openalex updated_date 2026/08/06

Abstract

Recently, a new perturbative QCD factorization formalism for heavy quarkonium production at a large transverse momentum was proposed. The phenomenological application of this new approach relies on our knowledge of a large number of universal fragmentation functions (FFs) at an input factorization scale \ensuremathμ0\ensuremath\gtrsim2mQ with heavy quark mass mQ, which are nonperturbative, and in principle, should be extracted from data. With heavy quark mass mQ\ensuremath≫\mathrm\ensuremathΛQCD, we calculate these input FFs in terms of nonrelativistic QCD (NRQCD) factorization. We derive contributions to these input FFs through all S-wave NRQCD QQ states in a companion paper [Y. -Q. Ma, J. -W. Qiu, and H. Zhang, arXiv:1311.7078 [Phys. Rev. D (to be published)]]. In this paper, we calculate the contributions to the heavy quark-pair FFs from all P-wave NRQCD QQ states.

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