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The NLO fragmentation functions of heavy quarks into heavy quarkonia

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arxiv 1905.09171 v2 pith:QMYKWGUC submitted 2019-05-22 hep-ph

Xu-Chang Zheng , Chao-Hsi Chang , Xing-Gang Wu This is my paper · ORCID
classification hep-ph
keywords fragmentationheavyfunctionupsilonfunctionsinitialscaleapplication
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In the paper, we derive the next-to-leading order (NLO) fragmentation function for a heavy quark, either charm or bottom, into a heavy quarkonium $J/\Psi$ or $\Upsilon$. The ultra-violet divergences in the real corrections are removed through the operator renormalization, which is performed under the modified minimal subtraction scheme. We then obtain the NLO fragmentation function at an initial factorization scale, e.g. $\mu_{F}=3 m_c$ for $c\to J/\Psi$ and $\mu_{F}=3m_b$ for $b\to \Upsilon$, which can be evolved to any scale via the use of Dokshitzer-Gribov-Lipatov-Altarelli-Parisi equation. As an initial application of those fragmentation functions, we study the $J/\Psi$ ($\Upsilon$) production at a high luminosity $e^+e^-$ collider which runs at the energy around the $Z$ pole and could be a suitable platform for testing the fragmentation function.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Impact of relativistic corrections to high-pT prompt-psi(2S) production at hadron colliders

    hep-ph 2025-10 conditional novelty 6.0 of 10

    Relativistic O(v^2) corrections to color-singlet fragmentation functions, especially for gluons, bring leading-power NRQCD predictions for prompt psi(2S) at high pT into agreement with LHC data without color-octet mat...

  2. Bottomoniumlike states in proton collisions: Fragmentation and resummation

    hep-ph 2024-12 conditional novelty 6.0 of 10

    New TQHL1.1 and TQ4Q1.1 fragmentation functions for doubly and fully bottomed tetraquarks are constructed and evolved, yielding first predictions for bottom-tetraquark plus jet distributions at 14 and 100 TeV.

  3. All-charm tetraquarks at hadron colliders: A high-precision fragmentation perspective

    hep-ph 2026-04 unverdicted novelty 5.5 of 10

    TQ4Q2.0 supplies the first complete, uncertainty-quantified set of NRQCD-based fragmentation functions for all-heavy tetraquarks, including nonconstituent channels and public grids for jet-associated production.

  4. Toward Precision Fragmentation of $\Omega_{3Q}$ Baryons: The OMG3Q1.1 Framework

    hep-ph 2026-06 unverdicted novelty 5.0 of 10

    The OMG3Q1.1 framework delivers the first uncertainty-quantified set of fragmentation functions for all-heavy Ω_{3Q} baryons via diquark-inspired inputs, HF-NRevo evolution, and replica-based error estimation.

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