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Four-pion production in \(e^+e^-\) annihilation

  • G. Ecker
  • R. Unterdorfer
Theoretical physics

Abstract. We calculate the processes \(e^+ e^- \to 4\pi\) and \(\tau \to \nu_\tau 4 \pi\) to \(O(p^4)\) in the low-energy expansion of the standard model. The chiral amplitudes of \(O(p^4)\) can be extended via resonance exchange to energies around 1 GeV. Higher-order effects have been included in the form of \(\omega, a_1\) and double \(\rho\) exchange and by performing a resummation of the pion form factor. The predicted cross sections and the branching ratios \({\mathrm{BR}}(\rho^0 \to 4 \pi)\) are in good agreement with the available data.

Keywords

Form Factor Resonance Exchange Double Exchange Pion Form Factor Predicted Cross Section 
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Copyright information

© Springer-Verlag Berlin Heidelberg / Società Italiana di Fisica 2002

Authors and Affiliations

  • G. Ecker
    • 1
  • R. Unterdorfer
    • 1
  1. 1.Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, 1090 Vienna, Austria AT

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