Abstract
The lowest order radiative correction to the differential cross section of process of muon pair production with the emission of a hard photon at high energy electron-positron annihilation are calculated. Taking into account the emission of additional soft and hard photon, the cross section can be put in the form of the Drell-Yan process in leading logarithmical approximation. Applying the crossing transformation, we obtain the cross section of the radiative electron-muon high-energy scattering process. Virtual and soft photon emission contributions of the nonleading form are tabulated for several typical kinematical points. The limit of the small invariant mass of a muon pair is in agreement with our previous analysis.
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References
V. N. Baier and V. A. Khoze, Zh. Éksp. Teor. Fiz. 48, 946 (1965) [Sov. Phys. JETP 21, 629 (1965)]; Zh. Éksp. Teor. Fiz. 48, 1708 (1965) [Sov. Phys. JETP 21, 1145 (1965)]; V. N. Baier and V. A. Khoze, Yad. Fiz. 2, 287 (1965) [Sov. J. Nucl. Phys. 2, 205 (1966)].
A. Arbuzov, V. Bytev, and E. Kuraev, hep-ph/0308292.
G. Rodrigo, H. Czyz, and J. H. Kuhn, hep-ph/0205097.
V. A. Khoze et al., hep-ph/0202021; Eur. Phys. J. C 18, 481 (2001).
F. A. Berends and R. Kleiss, Nucl. Phys. B 177, 237 (1981).
A. I. Akhiezer and V. B. Berestetskii, Quantum Electro-dynamics, 4th ed. (Nauka, Moscow, 1981; Wiley, New York, 1965).
S. Eidelman and F. Jegerlehner, Z. Phys. C 67, 585 (1995).
P. Kessler, Nuovo Cimento 17, 809 (1960); V. N. Baier, V. S. Fadin, and V. A. Khoze, Nucl. Phys. B 65, 381 (1973); V. N. Baier, V. S. Fadin, V. A. Khoze, and E. A. Kuraev, Phys. Rep. 78, 293 (1981).
E. A. Kuraev and V. S. Fadin, Sov. J. Nucl. Phys. 41, 466 (1985); O. Nikrosini and L. Trentadue, Phys. Lett. B 196, 551 (1987).
V. V. Bytev, E. A. Kuraev, and B. G. Shaikhatdenov, Preprint No. E2-2002-56, JINR (Joint Inst. for Nuclear Research, Dubna, 2002).
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From Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 79, No. 12, 2004, pp. 729–733.
Original English Text Copyright © 2004 by Arbuzov, Bytev, Kuraev.
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Arbuzov, A.B., Bytev, V.V. & Kuraev, E.A. Radiative muon pair production in high-energy electron-positron annihilation process. Jetp Lett. 79, 593–597 (2004). https://doi.org/10.1134/1.1790013
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DOI: https://doi.org/10.1134/1.1790013