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The muon pair production in the process \(e^{+}e^{-}\rightarrow e^{+}e^{-}\mu ^{+}\mu ^{-}\) through the two-photon mechanism at high energies: transverse momentum, rapidity and angular distributions

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Abstract

In the present paper, we investigate the muon pair production in the interaction between two quasi-real photons in \(e^+e^-\) collision. We calculate the total and differential cross section of the process \(\gamma \gamma \rightarrow \mu ^+\mu ^-\) at a beam energy of photons from 3 to 40 GeV in the center-of-mass and for different values of the muon transverse momentum, the muon rapidity and the muon angle. In the \(\gamma \gamma \rightarrow \mu ^+\mu ^-\) process we also take the contribution of the Box+Vertex correction+ Soft photon emission+Vacuum polarization diagrams. We also study the cross section of the \(e^+ +e^- \rightarrow e^+ + e^- +\mu ^+ + \mu ^-\) process as a function of the \(e^+ e^-\) center-of-mass energy \(\sqrt{s}\) in the region 5 GeV \(\le \sqrt{s} \le \) 209 GeV using the two-photon mechanism. The obtained results are in satisfactory agreement with experimental data.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All necessary data is into this paper.]

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Acknowledgements

DJCL is very grateful to the Bogoliubov laboratory of Theoretical Physics (JINR) for hospitality and to CONICET-ARGENTINA for finnantial support.

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Authors and Affiliations

  1. Institute of Physics, Azerbaijan National Academy of Sciences, H.Javid ave. 131, 1143, Baku, Azerbaijan

    Azad I. Ahmadov

  2. Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, 141980, Russia

    Azad I. Ahmadov & Diego Julio Cirilo-Lombardo

  3. Instituto de Fisica del Plasma (INFIP), CONICET-Universidad de Buenos Aires, Buenos Aires, Argentina

    Diego Julio Cirilo-Lombardo

  4. Departamento de Fisica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina

    Diego Julio Cirilo-Lombardo

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  1. Azad I. Ahmadov
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  2. Diego Julio Cirilo-Lombardo
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Correspondence to Diego Julio Cirilo-Lombardo.

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Ahmadov, A.I., Cirilo-Lombardo, D.J. The muon pair production in the process \(e^{+}e^{-}\rightarrow e^{+}e^{-}\mu ^{+}\mu ^{-}\) through the two-photon mechanism at high energies: transverse momentum, rapidity and angular distributions. Eur. Phys. J. A 57, 179 (2021). https://doi.org/10.1140/epja/s10050-021-00499-4

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