A discussion on vacuum polarization correction to the cross-section of e~+e~-→γ~*/ψ →μ~+μ~-

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英文篇名：A discussion on vacuum polarization correction to the cross-section of e~+e~-→γ~*/ψ →μ~+μ~- 作者：金红豆 ; 周利鹏 ; 张丙新 ; 胡海明 英文作者：Hong-Dou Jin;Li-Peng Zhou;Bing-Xin Zhang;Hai-Ming Hu;University of Chinese Academy of Science;Institute of High Energy Physics, Chinese Academy of Sciences; 英文关键词：electron–positron annihilation;;resonance;;vacuum polarization;;cross-section 中文刊名：KNWL 英文刊名：中国物理C 机构：University of Chinese Academy of Science;Institute of High Energy Physics, Chinese Academy of Sciences; 出版日期：2019-01-15 出版单位：Chinese Physics C 年：2019 期：v.43 基金：Supported by National Natural Science Foundation of China(11275211)and(11335008) 语种：英文; 页：KNWL201901005 页数：12 CN：01 ISSN：11-5641/O4 分类号：28-39

摘要

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.
        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.

引文

[1] F. A. Berends et al, Nucl. Phys. B, 57:381(1973)
    2 F. A. Berends et al, Nucl. Phys. B, 63:381(1973)
    3 F. A. Berends et al, Nucl. Phys. B, 68:541(1974)
    4 F. A. Berends et al, Nucl. Phys. B, 115:114(1976)
    5 M. E. Peskin et al, An Introduction to Quantum Field Theory,(New York, 1995)
    6 J. D. Jackson et al, Nucl. Inst. and Method, 128:13(1975)
    7 A. Osterheld et al, SLAC-PUB-4160(1986)(T/E)
    8 C. Edward et al, SLAC-PUB-5160(1990)(T/E)
    9 Y. S. Tsai, SLAC-PUB-3129, May 1983(T/E)
    10 A. G. Shamov(KEDR Collaboration), CPC(HEP&NP), 34:836(2010)
    11 T. Barnes et al, Phys. Rev. D, 72:054026(2005)
    12 V. V. Anashin et al, Phys. Lett. B, 685:134(2010)
    13 V. V. Anashin et al, arXiv:1109.4215[hep-ex]
    14 M. Ablikim et al, Phys. Lett. B, 660:315(2008)
    15 M. Ablikim et al, Phys. Lett. B, 677:239(2009)
    16 H. HU et al, Chinese Physics C(HEP&NP), 25:701(2001)
    17 L. K¨opke and N. Wermes, Phys. Reprt., 174:47(1989)
    18 Particle Data Group, Chinese Physics C, 38:511(2014)
    19 R. Barbieri et al, Phys. Lett. B, 106:497(1981)
    20 R. Van Royen et al, Nuovo Cim., 50:617(1967); 51:583(1967)
    21 W. Greiner et al, Quantum Electrodynamics,(Berlin:Springer,2002)P. 292
    22 N. Cabibbo et al, Phys. Rev., 124:1577(1961)
    23 E. Cremmer et al, Nucl. Phys. B, 12:383(1969)
    24 V. V. Anashin et al, arXiv:1610.02827[hep-ex]
    25 V. V. Anashin et al, arXiv:1510.02667[hep-ex]
    26 Eichten et al, Phys. Rev. D, 21:21(1980)
    27 W. Lucha et al, Phys. Rep., 4:127(1991)