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

Abstract
HTML
Reference
Related

PDF

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)

[1]	Jingxuan Chen , Xiaopeng Wang , Yanbing Cai , Xurong Chen , Qian Wang . Analysis of the gluon distribution with next-to-leading order splitting function at small-x. Chinese Physics C, 2024, 48(6): 063104. doi: 10.1088/1674-1137/ad305d
[2]	Feng Feng , Yu Jia . Next-to-leading-order QCD corrections to gluon fragmentation into ${ {}^{\bf 1}{\boldsymbol S}_{\bf 0}^{\bf(1,8)} }$ quarkonia. Chinese Physics C, 2023, 47(3): 033103. doi: 10.1088/1674-1137/aca1aa
[3]	Yunpeng Liu , Baoyi Chen . Fast heating dissociation of ${ \Upsilon(1S) }$ in heavy ion collisions at RHIC. Chinese Physics C, 2020, 44(12): 124106. doi: 10.1088/1674-1137/abb4d7
[4]	Lei Chang , Khépani Raya , Xiaobin Wang . Pion parton distribution function in light-front holographic QCD. Chinese Physics C, 2020, 44(11): 114105. doi: 10.1088/1674-1137/abae52
[5]	Bin Gong , Yu-Dong Wang , Jian-Xiong Wang . Perturbative QCD for J/ψ inclusive production via initial state radiation in ${{e^+e^-}}$ collisions. Chinese Physics C, 2019, 43(8): 083104. doi: 10.1088/1674-1137/43/8/083104
[6]	Zhibin Li , Yidian Chen , Danning Li , Mei Huang . Locating the QCD critical end point through peaked baryon number susceptibilities along the freeze-out line. Chinese Physics C, 2018, 42(1): 053001. doi: 10.1088/1674-1137/42/1/013103
[7]	Volker Koch , Soeren Schlichting , Vladimir Skokov , Paul Sorensen , Jim Thomas , Sergei Voloshin , Gang Wang , Ho-Ung Yee . Status of the chiral magnetic effect and collisions of isobars. Chinese Physics C, 2017, 41(7): 072001. doi: 10.1088/1674-1137/41/7/072001
[8]	A. Vafaee , A. N. Khorramian . RETRACTED:Impact of charm H1-ZEUS combined data and determination of the strong coupling in two different schemes. Chinese Physics C, 2017, 41(11): 113104. doi: 10.1088/1674-1137/41/11/113104
[9]	A-Meng Zhao , Yuan-Mei Shi , Jian-Feng Li , Hong-Shi Zong . QCD equation of state for heavy ion collisions. Chinese Physics C, 2017, 41(10): 103101. doi: 10.1088/1674-1137/41/10/103101
[10]	Zi-qiang Zhang , Yan Wu , De-fu Hou . Melting temperature of heavy quarkonium with a holographic potential up to sub-leading order. Chinese Physics C, 2016, 40(6): 064101. doi: 10.1088/1674-1137/40/6/064101
[11]	Chao Zhou , Mao Song , Gang Li , Ya-Jin Zhou , Jian-You Guo . Next-to-leading order QCD corrections to Higgs boson decay to quarkonium plus a photon. Chinese Physics C, 2016, 40(12): 123105. doi: 10.1088/1674-1137/40/12/123105
[12]	TAO Jun-Quan , ZHANG Si-Jing , SHEN Yu-Qiao , FAN Jia-Wei , CHEN Guo-Ming , CHEN He-Sheng . Production of γγ+2 jets from double parton scattering in proton-proton collisions at the LHC. Chinese Physics C, 2015, 39(12): 121001. doi: 10.1088/1674-1137/39/12/121001
[13]	WANG Meng-Liang , ZHOU Dai-Cui . Medium modified fragmentation function: equivalence of the ACSX and QW formalisms in the high-Q² region. Chinese Physics C, 2011, 35(10): 935-939. doi: 10.1088/1674-1137/35/10/009
[14]	JIANG Yu , LI Ning , SUN Wei-Min , ZONG Hong-Shi . Calculation of equation of state of QCD at zero temperature and finite chemical potential. Chinese Physics C, 2010, 34(9): 1324-1327. doi: 10.1088/1674-1137/34/9/033
[15]	ZHANG Jian-Rong , HUANG Ming-Qiu . Heavy flavor baryon spectra via QCD sum rules. Chinese Physics C, 2009, 33(12): 1385-1388. doi: 10.1088/1674-1137/33/12/061
[16]	QI Wei , QIAO Cong-Feng , WANG Jian-Xiong . On the Application of Gluon to Heavy Quarkonium Fragmentation Function. Chinese Physics C, 2007, 31(8): 715-718.
[17]	Luo Zhenfei , Qiu Xijun . Relativistic Two-Body Wave Equation and Short-range Interaction of Quarkonium. Chinese Physics C, 1991, 15(S4): 427-429.
[18]	Wang Shan , Liu Yiming , Jiang Yuzhen , Chen Xiaofan , D. Keane , S. Y. Fung , S. Y. Chu . Azimuthal Correlation Function and the Nuclear Equation of State. Chinese Physics C, 1990, 14(S4): 361-366.
[19]	WU Ji-Min , SHEN Qi-Xing , SONG Xiao-Tong , ZHANG Hong-Xian , DU Jian-Guo . THE QCD PREDICTIONS FOR THE GLUON DISTRIBUTION FUNCTION IN HADRONS. Chinese Physics C, 1989, 13(6): 494-502.
[20]	SHEN Qi-Xing , WU Ji-Min , SONG Xiao-Tong , DU Jian-Guo , ZHANG Hong-Xian . QCD PREDICTIONS FOR THE SEA QUARK DISTRIBUTION FUNCTION IN HADRONS. Chinese Physics C, 1989, 13(7): 607-613.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2016-10-14

Fund

Supported by National Natural Science Foundation of China (11475188, 11261130311, 11575202, 11222549), IHEP Innovation (Y4545170Y2), State Key Lab for Electronics and Particle Detectors

Article Metric

Article Views(1613)
PDF Downloads(34)
Cited by(0)

Policy on re-use

To reuse of Open Access content published by CPC, for content published under the terms of the Creative Commons Attribution 3.0 license (“CC CY”), the users don’t need to request permission to copy, distribute and display the final published version of the article and to create derivative works, subject to appropriate attribution.

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.

HTML

Reference (24)

Relativistic correction to gluon fragmentation function into pseudoscalar quarkonium

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article