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

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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

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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

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

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

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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

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.

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

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通讯作者: 陈斌, bchen63@163.com

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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,

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

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通讯作者: 陈斌, bchen63@163.com

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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,

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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