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]	Hong-Dou Jin;Li-Peng Zhou;Bing-Xin Zhang;Hai-Ming Hu . A discussion on vacuum polarization correction to the cross-section of ${e^+e^-\to\gamma^\ast/\psi\to\mu^+\mu^-}$. Chinese Physics C, 2019, df87c41e-622f-49a7-b081-5c584df157aa(11): 13104-.
[2]	Hong-Dou Jin , Li-Peng Zhou , Bing-Xin Zhang , Hai-Ming Hu . A discussion on vacuum polarization correction to the cross-section of e⁺e^-→γ^*/ψ→μ⁺μ^-. Chinese Physics C, 2019, 43(1): 013104. doi: 10.1088/1674-1137/43/1/013104
[3]	Feng-Lan Shao , Jun Song , Rui-Qin Wang , Mao-Sheng Zhang . Energy dependence of resonance production in relativistic heavy ion collisions. Chinese Physics C, 2017, 41(1): 014101. doi: 10.1088/1674-1137/41/1/014101
[4]	XI Shi-Bo , CUI Ming-Qi , ZHU Jing-Tao , YANG Dong-Liang , XU Wei , LIU Li-Juan , GUO Zhi-Ying , ZHAO Jia . An analytical model for the polarization of synchrotron radiation in a soft X-ray region. Chinese Physics C, 2013, 37(3): 038002. doi: 10.1088/1674-1137/37/3/038002
[5]	P. G. Ortega , D. R. Entem , F. Fernandez . ΛΛ production in pp collisions. Chinese Physics C, 2010, 34(9): 1462-1464. doi: 10.1088/1674-1137/34/9/072
[6]	Baldini Ferroli . BABAR measurement of baryon time-like form factors via initial state radiation. Chinese Physics C, 2010, 34(6): 860-862. doi: 10.1088/1674-1137/34/6/040
[7]	Michel Davier . New results on the hadronic vacuum polarization contribution to the muon g－2. Chinese Physics C, 2010, 34(6): 718-727. doi: 10.1088/1674-1137/34/6/018
[8]	K. Hara (for the ATLAS collaboration) . ATLAS commissioning and early physics of resonance and jet production. Chinese Physics C, 2010, 34(9): 1530-1533. doi: 10.1088/1674-1137/34/9/092
[9]	WANG Wen-Feng (for the BABAR collaboration) . Precise measurement of the e⁺e^－→π⁺π^－(γ) cross section with the initial state radiation method at BABAR. Chinese Physics C, 2010, 34(6): 692-697. doi: 10.1088/1674-1137/34/6/014
[10]	HUANG Fei . Strategies for baryon resonance analysis. Chinese Physics C, 2009, 33(12): 1127-1131. doi: 10.1088/1674-1137/33/12/013
[11]	R. A. Arndt , W. J. Briscoe , M. W. Paris , I. I. Strakovsky , R. L. Workman . Baryon resonance analysis from SAID. Chinese Physics C, 2009, 33(12): 1063-1068. doi: 10.1088/1674-1137/33/12/004
[12]	D. Drechsel , S.S. Kamalov , M. Vanderhaeghen . Baryon resonance analysis from MAID. Chinese Physics C, 2009, 33(12): 1069-1076. doi: 10.1088/1674-1137/33/12/005
[13]	Kyungseon Joo (for the CLAS collaboration) . Single π⁰ electro-production in the resonance region with CLAS. Chinese Physics C, 2009, 33(12): 1254-1256. doi: 10.1088/1674-1137/33/12/033
[14]	N. Suzuki , T. -S. H. Lee . Extraction of resonance parameters from meson production reaction. Chinese Physics C, 2009, 33(12): 1140-1145. doi: 10.1088/1674-1137/33/12/015
[15]	WANG Mei-Juan , LIU Lian-Shou , WU Yuan-Fang . Trace initial interaction from final state observable in relativistic heavy ion collisions. Chinese Physics C, 2009, 33(1): 36-41. doi: 10.1088/1674-1137/33/1/008
[16]	Daisuke Jido , Yoshiko Kanada-En'yo . A new N^* resonance as a hadronic molecular state. Chinese Physics C, 2009, 33(12): 1312-1317. doi: 10.1088/1674-1137/33/12/044
[17]	Zhang Lin , Yu Hong , Shen Qixing . Angular Distribution of the Process e⁺e^-→J/ψ→γ+X(J^Pc),X→BB,and the Spin-Parity Analysis of the Resonance X. Chinese Physics C, 1996, 20(S2): 135-140.
[18]	Qin Keyu , Jiang Huanqing , Liu Bo . Initial-State Interaction and J/ψ Suppression in High-Energy Proton-Nucleus Collisions. Chinese Physics C, 1996, 20(S4): 359-362.
[19]	Chen Qizhou , Fang Xiyan , Guo Shouhong . Calculation of Vacuum State for 2+1-Dimensional SU(3) Lattice Gauge Theory. Chinese Physics C, 1995, 19(S3): 265-272.
[20]	Yu Hong , Shen Qixing . A Possible New Resonance State: Spin-parity Analysis of the X Resonance in J/ψ→X+f₀(975) Process. Chinese Physics C, 1995, 19(S1): 27-30.

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(1527)
PDF Downloads(32)
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