Relativistic correction to gluon fragmentation function into pseudoscalar quarkonium

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Xiangrui Gao, Yu Jia, Liuji Li and Xiaonu Xiong. Relativistic correction to gluon fragmentation function into pseudoscalar quarkonium[J]. Chinese Physics C, 2017, 41(2): 023103. doi: 10.1088/1674-1137/41/2/023103
Xiangrui Gao, Yu Jia, Liuji Li and Xiaonu Xiong. Relativistic correction to gluon fragmentation function into pseudoscalar quarkonium[J]. Chinese Physics C, 2017, 41(2): 023103.  doi: 10.1088/1674-1137/41/2/023103 shu
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Received: 2016-10-14
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    Supported by National Natural Science Foundation of China (11475188, 11261130311, 11575202, 11222549), IHEP Innovation (Y4545170Y2), State Key Lab for Electronics and Particle Detectors

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Relativistic correction to gluon fragmentation function into pseudoscalar quarkonium

    Corresponding author: Xiangrui Gao,
    Corresponding author: Yu Jia,
    Corresponding author: Liuji Li,
    Corresponding author: Xiaonu Xiong,
  • 1.  Institute of High Energy Physics and Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences, Beijing 100049, China
  • 2. Institute of High Energy Physics and Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences, Beijing 100049, China
  • 3. Center for High Energy Physics, Peking University, Beijing 100871, China
  • 4.  Istituto Nazionale di Fisica Nucleare, Sezione di Pavia, Pavia, 27100, Italy
Fund Project:  Supported by National Natural Science Foundation of China (11475188, 11261130311, 11575202, 11222549), IHEP Innovation (Y4545170Y2), State Key Lab for Electronics and Particle Detectors

Abstract: Inspired by the recent measurements of the ηc meson production at LHC experiments, we investigate the relativistic correction effect for the fragmentation functions of gluon/charm quark fragmenting into ηc, which constitute the crucial nonperturbative element for the ηc production at high pT. Employing three distinct methods, we calculate the next-to-leading-order (NLO) relativistic correction to g→ηc fragmentation function in the NRQCD factorization framework, as well as verifying the existing NLO result for the c→ηc fragmentation function. We also study the evolution behavior of these fragmentation functions with the aid of the DGLAP equation.

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