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

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

1997-10-21

arxiv.org/abs/hep-ph/9710420v1

Eur.Phys.J.C4:631-639,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, Latex

Scientific paper

10.1007/s100520050233

The lepton pair production $e^- e^+ \to e^- e^+ l^- l^+ $ or $\mu^- \mu^+ \to \mu^- \mu^+ l^- l^+ $ is studied in the dominant cross section region of scattering angles ${m_j}/{E_j} \stackrel{<}{\sim} \theta_j \ll 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 ${m_j^2}/{E_j^2}$, $\theta_j^2$ and $ \theta_j {m_j}/{E_j}$. 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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