Near threshold radiative 3$π$ production in $e^+e^-$ annihilation

Details Near threshold radiative 3$π$ production in $e^+e^-$ annihilation Near threshold radiative 3$π$ production in $e^+e^-$ annihilation

2002-01-17

arxiv.org/abs/hep-ph/0201157v2

JHEP 0209 (2002) 008; Phys.Atom.Nucl. 67 (2004) 985-992

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, Latex, 6 figures. Misprints corrected. Version to be published in JHEP

Scientific paper

10.1088/1126-6708/2002/09/008

We consider the $\pi^+\pi^-\pi_0\gamma$ final state in electron-positron annihilation at cms energies not far from the threshold. Both initial and final state radiations of the hard photon is considered but without interference between them. The amplitude for the final state radiation is obtained by using the effective Wess-Zumino-Witten Lagrangian for pion-photon interactions valid for low energies. In real experiments energies are never such small that $\rho$ and $\omega$ mesons would have negligible effect. So a phenomenological Breit-Wigner factor is introduced in the final state radiation amplitude to account for the vector mesons influence. Using radiative 3$\pi$ production amplitudes, a Monte Carlo event generator was developed which could be useful in experimental studies.

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