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

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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
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 shu
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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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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
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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