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Helicity amplitudes for the small-angle lepton pair production in \(e^+e^-\) or \(\mu^+ \mu^-\) collisions

  • E.A. Kuraev
  • A. Schiller
  • V.G. Serbo
  • D.V. Serebryakova
Theoretical physics
  • 32 Downloads

Abstract.

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 \({m_j}/{E_j} \lesssim \theta_j \ll 1\). 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.

Keywords

Numerical Calculation Pair Production Compact Form Helicity Amplitude Lepton Pair 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • E.A. Kuraev
    • 1
  • A. Schiller
    • 2
  • V.G. Serbo
    • 3
  • D.V. Serebryakova
    • 4
  1. 1. Joint Institute of Nuclear Research, 141980, Dubna, Russia (e-mail: kuraev@thsun1.jinr.dubna.su) RU
  2. 2. Institut für Theoretische Physik and Naturwissenschaftlich-Theoretisches Zentrum, Universität Leipzig, D-04109 Leipzig, Germany (e-mail: schiller@tph204.physik.uni-leipzig.de) DE
  3. 3. Novosibirsk State University, 630090, Novosibirsk, Russia (e-mail: serbo@math.nsc.ru) RU
  4. 4. Institute of Mathematics, 630090, Novosibirsk, Russia RU

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