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 resonan...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 ψ(3686) resonance.展开更多
基金Supported by National Natural Science Foundation of China(11275211)Istituto Nazionale di Fisica Nucleare,Italy
文摘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 ψ(3686) resonance.