Helicity amplitudes for the small-angle lepton pair production in e+e- or μ+μ- collisions

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Joint Institute of Nuclear Research, 141980, Dubna, Russia [1 ]
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Eur. Phys. J. C | / 4卷 / 631-639期
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931.3 Atomic and Molecular Physics;
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摘要
The lepton pair production e-e+→e-e+l-l + or μ-μ+ → μ-μ+l-l+is studied in the dominant cross section region of scattering angles mj/Ej θj 1. An analytical expression is found for all 64 helicity amplitudes of these processes. The accuracy of the obtained formulae is given omitting only terms of the order of mj2/Ej2, θj2, and θjmj/Ej. The result has a compact form convenient both for analytical and numerical calculations of various cross sections in this dominating scattering regime.
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