2022 Impact factor 4.4
Particles and Fields

Eur. Phys. J. C 18, 497-509
DOI: 10.1007/s100520100553

Four pion final states with tagged photons at electron positron colliders

H. Czyz1 and J.H. Kühn2

1  Institute of Physics, University of Silesia, ul. Uniwersytecka 4, 40007 Katowice, Poland
2  Institut für Theoretische Teilchenphysik, Universität Karlsruhe, 76128 Karlsruhe, Germany


(Received: 29 August 2000 / Revised version: 17 November 2000 / Published online: 21 December 2000 -© Springer-Verlag 2000)

A Monte Carlo generator has been constructed to simulate the reaction $e^+e^- \to \gamma + 4 \pi$, where the photon is assumed to be observed in the detector. Only initial state radiation is considered. Additional collinear photon radiation has been incorporated with the technique of structure functions. Predictions are presented for CMS energies of 1 GeV, 3 GeV and 10 GeV, corresponding to the energies of DA$\Phi$NE, BEBC and of B-meson factories. The event rates are sufficiently high to allow for a precise measurement of R(Q2) in the region of Q between approximately 1 GeV and 2.5 GeV. For the construction of the program we employ isospin relations between the amplitudes governing $\tau$ decays into four pions and electron positron annihilation into four pions. Estimates of the kinematic breaking of these isospin relations as a consequence of the $\pi^-$-$\pi^0$ mass difference are given.

© Società Italiana di Fisica, Springer-Verlag 2001