Heavy quarkonium fragmentation functions from a heavy quark pair. I.Swave

2013/11/30 by Yan-Qing Ma, Jian-Wei Qiu, Hong Zhang · 3 citations
Mathematics · Physics and Astronomy · #Algorithm #Factorization #High-Energy Particle Collisions Research #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Parton #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Quarkonium #Wave function #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevd.89.094029

published as Phys. Rev. D 89, 094029 (2014) · 42 pages, 4 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 2016/06/24 · openalex updated_date 2026/08/06

Abstract

A QCD factorization formalism was recently proposed for evaluating heavy quarkonium production at large p_T at collider energies. With systematically calculated short-distance partonic hard parts and evolution kernels of fragmentation functions (FFs), the predictive power of this factorization approach relies on our knowledge of a large number of universal FFs at an input factorization scale \ensuremathμ₀\ensuremath\gtrsim2m_Q with heavy quark mass m_Q. With the large heavy quark mass, the relative motion of the heavy quark pair inside a heavy quarkonium is effectively nonrelativistic. We evaluate these universal input FFs using nonrelativistic QCD (NRQCD) factorization and express the large number of FFs in terms of a few universal NRQCD long-distance matrix elements with perturbatively calculated coefficients. We derive complete contributions to the single-parton FFs at both O(\ensuremathα_s) and O(\ensuremathα_s²) and the heavy quark-pair FFs at O(\ensuremathα_s). We present detailed derivation for all contributions involving long-distance matrix elements of S-wave NRQCD QQ states (P-wave contributions in a companion paper, Y.-Q. Ma, J.-W. Qiu, and H. Zhang, arXiv:1401.0524 [Phys. Rev. D (to be published)]). Our results bridge the gap between the QCD factorization formalism and its phenomenological applications.

Citations

• Heavy quarkonium fragmentation functions from a heavy quark pair. II.Pwave
• The Fragmentation Function of Gluon Splitting into P-wave Spin-singlet Heavy Quarkonium
• Discovery of a Narrow Resonance ine+e−Annihilation
• Experimental Observation of a Heavy ParticleJ
• Quark fragmentation into<mml:mprescripts/>3PJquarkonium
• NRQCD factorization for twist-2 light-cone wave-functions of charmonia
• Modelling light-cone distribution amplitudes from non-relativistic bound states
• Regularization and renormalization of gauge fields
• World data ofJ/ψproduction consolidate nonrelativistic QCD factorization at next-to-leading order
• Next-to-leading order calculation of the color-octet S gluon fragmentation function for heavy quarkonium

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