A discussion on vacuum polarization correction to the cross-section of ${e^+e^-\to\gamma^\ast/\psi\to\mu^+\mu^-}$

Hong-Dou Jin;Li-Peng Zhou;Bing-Xin Zhang;Hai-Ming Hu

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A discussion on vacuum polarization correction to the cross-section of ${e^+e^-\to\gamma^\ast/\psi\to\mu^+\mu^-}$

Hong-Dou Jin;Li-Peng Zhou;Bing-Xin Zhang;Hai-Ming Hu

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Vacuum polarization is a part of the initial-state radiative correction for the cross-section of $e^+e^-$ annihilation processes. In the energy region in the vicinity of narrow resonances $J/\psi$ and $\psi(3686)$, the vacuum polarization contribution from the resonant component has a significant effect on the line-shape of the lepton pair production cross-section. This paper discusses some basic concepts and describes an analytical calculation of the cross-section of $e^+e^-\to\gamma^\ast/\psi\to\mu^+\mu^-$ considering the single and double vacuum polarization effect of the virtual photon propagator. Moreover, it presents some numerical comparisons with the traditional treatments.

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Hong-Dou Jin;Li-Peng Zhou;Bing-Xin Zhang;Hai-Ming Hu. A discussion on vacuum polarization correction to the cross-section of ${e^+e^-\to\gamma^\ast/\psi\to\mu^+\mu^-}$[J]. Chinese Physics C.

Hong-Dou Jin;Li-Peng Zhou;Bing-Xin Zhang;Hai-Ming Hu. A discussion on vacuum polarization correction to the cross-section of ${e^+e^-\to\gamma^\ast/\psi\to\mu^+\mu^-}$[J]. Chinese Physics C. shu

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Received: 2018-05-15
Revised: 2018-09-19

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A discussion on vacuum polarization correction to the cross-section of ${e^+e^-\to\gamma^\ast/\psi\to\mu^+\mu^-}$

Hong-Dou Jin;Li-Peng Zhou;Bing-Xin Zhang;Hai-Ming Hu

Received Date: 2018-05-15
Accepted Date: 2018-09-19

Abstract: Vacuum polarization is a part of the initial-state radiative correction for the cross-section of $e^+e^-$ annihilation processes. In the energy region in the vicinity of narrow resonances $J/\psi$ and $\psi(3686)$, the vacuum polarization contribution from the resonant component has a significant effect on the line-shape of the lepton pair production cross-section. This paper discusses some basic concepts and describes an analytical calculation of the cross-section of $e^+e^-\to\gamma^\ast/\psi\to\mu^+\mu^-$ considering the single and double vacuum polarization effect of the virtual photon propagator. Moreover, it presents some numerical comparisons with the traditional treatments.