Analytic forms for cross sections of di-lepton production from e<sup>+</sup>e<sup>-</sup> collisions around the J/&psi; resonance

Xing-Yu Zhou; Ya-Di Wang; Li-Gang Xia

doi:10.1088/1674-1137/41/8/083001

Chinese Physics C> 2017, Vol. 41> Issue(8) : 083001 DOI: 10.1088/1674-1137/41/8/083001

Analytic forms for cross sections of di-lepton production from e⁺e^- collisions around the J/ψ resonance

Xing-Yu Zhou ^1,, ,
Ya-Di Wang ^2,3,, ,
Li-Gang Xia ^3,4,,

1.
Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China
2.
Helmholtz Institute Mainz, GSI, Mainz 55128, Germany
3.
Frascati National Laboratory, National Institute for Nuclear Physics, Frascati 00044, Italy
4.
Frascati National Laboratory, National Institute for Nuclear Physics, Frascati 00044, Italy
5.
Department of Physics, Tsinghua University, Beijing 100084, China

Abstract
HTML
Reference
Related

PDF

Abstract：
A detailed theoretical derivation of the cross sections of e⁺e^-→e⁺e^- and e⁺e^-→μ⁺μ^- around the J/ψ resonance is reported. The resonance and interference parts of the cross sections, related to J/ψ resonance parameters, are calculated. Higher-order corrections for vacuum polarization and initial-state radiation are considered. An arbitrary upper limit of radiative correction integration is involved. Full and simplified versions of analytic formulae are given with precision at the level of 0.1% and 0.2%, respectively. Moreover, the results obtained in the paper can be applied to the case of the ψp resonance.
- initial-state radiation ,
- vacuum polarization ,
- m e+e- collisions ,
- di-lepton production ,
- the J/ resonance

References

[1]	A. M. Badalian and I. V. Danilkin, Phys. Atom. Nucl.,72:1206 (2009)
[2]	O. Lakhina and E. S. Swanson, Phys. Rev. D,74:014012 (2006)
[3]	J. J. Dudek, R. G. Edwards, and D. G. Richards, Phys. Rev. D,73:074507 (2006)
[4]	B. Aubert et al (BABAR Collaboration), Phys. Rev. D,69:011103 (2004)
[5]	G. S. Adams et al (CLEO Collaboration), Phys. Rev. D,73:051103 (2006)
[6]	V. V. Anashin et al (KEDR Collaboration), Phys. Lett. B,685:134 (2010)
[7]	M. Ablikim et al (BESⅢ Collaboration), Nucl. Instrum. Methods A,614:345 (2010)
[8]	C. M. Carloni Calame, G. Montagna, O. Nicrosini et al, Nucl. Phys. B (Proc. Suppl.),131:48 (2004)
[9]	V. S. Fadin, V. A. Khoze and A. D. Martin, Phys. Lett. B,320:141 (1994)
[10]	E. A. Kuraev and V. S. Fadin, Sov. J. Nucl. Phys.,41:466 (1985)
[11]	F. Z. Chen, P. Wang, J. M. Wu et al, HEP NP,14(7):585 (1990) (in Chinese)
[12]	X. H. Mo, Measurement of (2S) Resonance Parameters, Ph.D. Thesis (Beijing:Institute of High Energy Physics, CAS, 2001) (in Chinese)
[13]	F. Z. Chen, P. Wang, C. M. Wu et al, BIHEP-EP-90-01
[14]	V. V. Anashin et al (KEDR Collaboration), Phys. Lett. B,711:280 (2012)
[15]	C. Patrignani et al (Particle Data Group), Chin. Phys. C,40(10):1 (2016)

[1]	Renli Xu , Chen Wu , Jian Liu , Bin Hong , Jie Peng , Xiong Li , Ruxian Zhu , Zhizhen Zhao , Zhongzhou Ren . Ground-state properties of finite nuclei in relativistic Hartree-Bogoliubov theory with an improved quark mass density-dependent model. Chinese Physics C, 2026, 50(2): 1-12.
[2]	Jialin He , Xinye Peng , Zhongbao Yin , Liang Zheng . Extracting the kinetic freeze-out properties of high energy pp collisions at the LHC with event shape classifiers. Chinese Physics C, 2026, 50(2): 1-16.
[3]	Cheng Hu , Xiao-Xiong Zeng . Hawking tunneling radiation with thermodynamic pressure. Chinese Physics C, 2026, 50(2): 1-8.
[4]	Zbigniew Drogosz , Wojciech Florkowski , Nikodem Witkowski , Radoslaw Ryblewski . ³H and ³He nuclei production in a combined thermal and coalescence framework for heavy-ion collisions in the few-GeV energy regime. Chinese Physics C, 2026, 50(2): 1-9.
[5]	G. Leckenby , M. Trassinelli , Rui-jiu Chen , R. S. Sidhu , J. Glorius , M. S. Sanjari , Yu. A. Litvinov , M. Bai , F. Bosch , C. Brandau , T. Dickel , I. Dillmann , D. Dmytriiev , T. Faestermann , O. Forstner , B. Franczak , H. Geissel , R. Gernhäuser , Bing-shui Gao , C. J. Griffin , A. Gumberidze , E. Haettner , R. Heß , P.-M. Hillenbrand , P. Kienle , W. Korten , Ch. Kozhuharov , N. Kuzminchuk , S. Litvinov , E. B. Menz , T. Morgenroth , C. Nociforo , F. Nolden , N. Petridis , U. Popp , S. Purushothaman , R. Reifarth , C. Scheidenberger , U. Spillmann , M. Steck , Th. Stöhlker , Y. K. Tanaka , S. Trotsenko , L. Varga , Meng Wang , H. Weick , P. J. Woods , T. Yamaguchi , Yu-hu Zhang , Jian-wei Zhao . Bayesian and Monte Carlo approaches to estimating uncertainty for the measurement of the bound-state β^- decay of ²⁰⁵Tl⁸¹⁺. Chinese Physics C, 2025, 49(11): 114001. doi: 10.1088/1674-1137/ade956
[6]	Siyu Tang , Zuman Zhang , Chao Zhang , Liang Zheng , Renzhuo Wan . Investigating the transverse-momentum- and pseudorapidity-dependent flow vector decorrelation in p–Pb collisions with a multi-phase transport model. Chinese Physics C, 2025, 49(12): 124104. doi: 10.1088/1674-1137/adef1b
[7]	Zhi-Lei Ma , Zhun Lu , Hao Liu , Li Zhang . Inelastic heavy quarkonium photoproduction in p-p and Pb-Pb collisions at LHC energies. Chinese Physics C, 2025, 49(10): 103103. doi: 10.1088/1674-1137/ade1ca
[8]	. Search for the lepton number violation decay ω→π⁺π⁺e⁻e⁻+c.c.. Chinese Physics C, 2025, 49(10): 103002. doi: 10.1088/1674-1137/ade955
[9]	Ruifeng Zheng , Puxian Wei , Qiaoli Yang . Generation of axions and axion-like particles through mass parametric resonance induced by scalar perturbations in the early universe. Chinese Physics C, 2025, 49(12): 125108. doi: 10.1088/1674-1137/adfa82
[10]	Muhammad Farhan Taseer , Subhash Singha . Impact of particle production mechanisms on pseudorapidity distribution and directed flow in Au+Au and Cu+Cu collisions at ${ \sqrt{{\boldsymbol s}_{\boldsymbol{ NN}}}}$ = 19.6 GeV using AMPT model. Chinese Physics C, 2025, 49(10): 104101. doi: 10.1088/1674-1137/ade660
[11]	Yangfan Guo , Zhou Yan , Xiaofei Yang , Shaojie Chen , Wencong Mei , Hanrui Hu , Yinshen Liu , Dongyang Chen , Chen Zhang , Tianxu Gao , Yipin Jing , Yanlin Ye . Development of cesium laser resonance ionization schemes for PLASEN experiment. Chinese Physics C, 2025, 49(12): 124002. doi: 10.1088/1674-1137/adf49e
[12]	Wei-Xi Kong , Ben-Wei Zhang . Fox-Wolfram moment of jet production in relativistic heavy-ion collisions. Chinese Physics C, 2025, 49(9): 094101. doi: 10.1088/1674-1137/add5d8
[13]	M. Bashkanov (for the WASA-at-COSY collaboration) . ABC effect in double-pionic nuclear fusion and a pn resonance as its possible origin. Chinese Physics C, 2010, 34(9): 1339-1341. doi: 10.1088/1674-1137/34/9/037
[14]	ZHANG Da-Lin , QIU Sui-Zheng , LIU Chang-Liang , SU Guang-Hui . Steady state investigation on neutronics of a molten salt reactor considering the flow effect of fuel salt. Chinese Physics C, 2008, 32(8): 624-628. doi: 10.1088/1674-1137/32/8/007
[15]	Yu Hong , Shen Qixing , Zhang Lin . Angular Distribution of Process e⁺e^－→τ⁺τ^－,τ^－→a₁υτ,a₁→ρπ and Characteristics of a₁ Meson. Chinese Physics C, 1994, 18(7): 583-590.
[16]	BES Collaboration . Experimental Study of Resonance f₂(1270) in the J/ψ Hadronic Decay. Chinese Physics C, 1993, 17(2): 97-106.
[17]	WU Zhong-Li . ANALYSIS OF THE MOMENTUM DISTRIBUTION WIDTH OF THE PREOJECTILE-LIKE-FRAGMENT FROM HEAVY ION COLLISIONS. Chinese Physics C, 1989, 13(8): 752-754.

Access

Get Citation

Xing-Yu Zhou, Ya-Di Wang and Li-Gang Xia. Analytic forms for cross sections of di-lepton production from e⁺e^- collisions around the J/ψ resonance[J]. Chinese Physics C, 2017, 41(8): 083001. doi: 10.1088/1674-1137/41/8/083001

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2016-12-30
Revised: 2017-04-24

Fund

Supported by National Natural Science Foundation of China (11275211) and Istituto Nazionale di Fisica Nucleare,Italy

Article Metric

Article Views(3092)
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

Analytic forms for cross sections of di-lepton production from e⁺e^- collisions around the J/ψ resonance

Corresponding author: Xing-Yu Zhou,

Corresponding author: Ya-Di Wang,

Corresponding author: Li-Gang Xia,

1. Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China

2. Helmholtz Institute Mainz, GSI, Mainz 55128, Germany

3. Frascati National Laboratory, National Institute for Nuclear Physics, Frascati 00044, Italy

4. Frascati National Laboratory, National Institute for Nuclear Physics, Frascati 00044, Italy

5. Department of Physics, Tsinghua University, Beijing 100084, China

Received Date: 2016-12-30

Accepted Date: 2017-04-24

Available Online: 2017-08-05

Fund Project: Supported by National Natural Science Foundation of China (11275211) and Istituto Nazionale di Fisica Nucleare,Italy

Abstract: A detailed theoretical derivation of the cross sections of e⁺e^-→e⁺e^- and e⁺e^-→μ⁺μ^- around the J/ψ resonance is reported. The resonance and interference parts of the cross sections, related to J/ψ resonance parameters, are calculated. Higher-order corrections for vacuum polarization and initial-state radiation are considered. An arbitrary upper limit of radiative correction integration is involved. Full and simplified versions of analytic formulae are given with precision at the level of 0.1% and 0.2%, respectively. Moreover, the results obtained in the paper can be applied to the case of the ψp resonance.

HTML

Reference (15)

Analytic forms for cross sections of di-lepton production from e⁺e^- collisions around the J/ψ resonance

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Analytic forms for cross sections of di-lepton production from e⁺e^- collisions around the J/ψ resonance

Corresponding author: Xing-Yu Zhou,

Corresponding author: Ya-Di Wang,

Corresponding author: Li-Gang Xia,

HTML

目录

Analytic forms for cross sections of di-lepton production from e+e- collisions around the J/ψ resonance

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Analytic forms for cross sections of di-lepton production from e+e- collisions around the J/ψ resonance

Corresponding author: Xing-Yu Zhou,

Corresponding author: Ya-Di Wang,

Corresponding author: Li-Gang Xia,

HTML

目录

Analytic forms for cross sections of di-lepton production from e⁺e^- collisions around the J/ψ resonance

Analytic forms for cross sections of di-lepton production from e⁺e^- collisions around the J/ψ resonance