A discussion on vacuum polarization correction to the cross-section of e+e−→γ*/ψ→μ+μ−Supported by National Natural Science Foundation of China (11275211) and (11335008)

Jin, Hong-Dou (University of Chinese Academy of Science, Beijing 100049, China) (Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China) ; Zhou, Li-Peng (University of Chinese Academy of Science, Beijing 100049, China) (Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China) ; Zhang, Bing-Xin (Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China) ; Hu, Hai-Ming (Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China) (University of Chinese Academy of Science, Beijing 100049, China)

02 January 2019

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/ψ and ψ(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− →γ*/ψ→μ+μ− considering the single and double vacuum polarization effect of the virtual photon propagator. Moreover, it presents some numerical comparisons with the traditional treatments.


Published in: Chinese Phys. C 43 (2018) 013104
Published by: Institute of Physics Publishing/Chinese Academy of Sciences
DOI: 10.1088/1674-1137/43/1/013104
arXiv: 1805.03803
License: CC-BY-3.0



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