Relativistic correction to gluon fragmentation function into pseudoscalar quarkonium

Xiangrui Gao; Yu Jia; Liuji Li; Xiaonu Xiong

doi:10.1088/1674-1137/41/2/023103

Chinese Physics C> 2017, Vol. 41> Issue(2) : 023103 DOI: 10.1088/1674-1137/41/2/023103

Relativistic correction to gluon fragmentation function into pseudoscalar quarkonium

Xiangrui Gao ^1,, ,
Yu Jia ^1,2,, ,
Liuji Li ^1,, ,
Xiaonu Xiong ^3,,

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

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

References

[1]	N. Brambilla et al, Eur. Phys. J. C, 71:1534(2011)
[2]	G. T. Bodwin, E. Braaten, and G. P. Lepage, Phys. Rev. D, 51:1125(1995)
[3]	R. Aaij et al (LHCb Collaboration), Eur. Phys. J. C, 75:311(2015)
[4]	M. Butenschoen, Z. G. He, and B. A. Kniehl, Phys. Rev. Lett. 114:092004(2015)
[5]	H. Han, Y. Q. Ma, C. Meng, H. S. Shao, and K. T. Chao, Phys. Rev. Lett., 114:092005(2015)
[6]	H. F. Zhang, Z. Sun, W. L. Sang, and R. Li, Phys. Rev. Lett. 114:092006(2015)
[7]	J. C. Collins, D. E. Soper, and G. F. Sterman, Adv. Ser. Direct. High Energy Phys. 5:1(1989)[hep-ph/0409313]
[8]	K. A. Olive et al (Particle Data Group Collaboration), Chin. Phys. C, 38:090001(2014)
[9]	Z. B. Kang, J. W. Qiu, and G. Sterman, Phys. Rev. Lett., 108:102002(2012)[arXiv:1109.1520[hep-ph]]
[10]	Z. B. Kang, Y. Q. Ma, J. W. Qiu, and G. Sterman, Phys. Rev. D, 90:034006(2014)
[11]	Y. Q. Ma, J. W. Qiu, and H. Zhang, Phys. Rev. D, 89:094029(2014)
[12]	Y. Q. Ma, J. W. Qiu, and H. Zhang, Phys. Rev. D, 89:094030(2014); doi:10.1103/PhysRevD.89.094030[arXiv:1401. 0524[hep-ph]]
[13]	C. H. Chang, Nucl. Phys. B, 172:425(1980)
[14]	E. Braaten and T. C. Yuan, Phys. Rev. Lett., 71:1673(1993)[hep-ph/9303205]
[15]	J. P. Ma, Phys. Lett. B, 332:398(1994)
[16]	G. T. Bodwin and J. Lee, Phys. Rev. D, 69:054003(2004)
[17]	G. T. Bodwin, U. R. Kim, and J. Lee, JHEP, 1211:020(2012); doi:10.1007/JHEP11(2012)020[arXiv:1208.5301[hep-ph]]
[18]	W. L. Sang, L. F. Yang, and Y. Q. Chen, Phys. Rev. D, 80:014013(2009)
[19]	P. Artoisenet and E. Braaten, JHEP, 1504:121(2015)
[20]	J. C. Collins and D. E. Soper, Nucl. Phys. B, 194:445(1982)
[21]	E. Braaten, K. M. Cheung, and T. C. Yuan, Phys. Rev. D, 48:4230(1993)
[22]	M. Gremm and A. Kapustin, Phys. Lett. B, 407:323(1997)
[23]	G. T. Bodwin and A. Petrelli, Phys. Rev. D, 66:094011(2002)
[24]	G. P. Salam and J. Rojo, Comput. Phys. Commun., 180:120(2009)

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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

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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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通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

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

Received Date: 2016-10-14

Available Online: 2017-02-05

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

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Relativistic correction to gluon fragmentation function into pseudoscalar quarkonium

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通讯作者: 陈斌, bchen63@163.com

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