Charge asymmetry of pions in the process $e^-e^+\to e^-e^+π^+π^-$

dc.creatorGinzburg, I. F.
dc.creatorSchiller, A.
dc.creatorSerbo, V. G.
dc.date2000-12-06
dc.date.accessioned2026-07-07T12:26:08Z
dc.date.available2026-07-07T12:26:08Z
dc.descriptionThe study of the charge asymmetry of produced particles allows to investigate the interference of different production mechanisms and to determine new features of the corresponding amplitudes. In the process $e^- e^+ \to e^- e^+ π^+ π^-$ the two-pion system is produced via two mechanisms: two-photon (C-even state) and bremsstrahlung (C-odd state) production. We study the charge asymmetry of pions in a differential in the pion momenta cross section originating from an interference between these two mechanisms. At low effective mass of dipions this asymmetry is directly related to the s- and p-phases of elastic $ππ$ scattering. At higher energies it can give new information about the $f_0$ meson family, $f_2(1270)$ meson, etc. The asymmetry is expressed via the pion form factor $F_π$ and helicity amplitudes $M_{ab}$ for the subprocess $γ^*γ\to π^+π^-$ as $\sum G_{ab}{\rm Re}(F_π^*M_{ab})$ where we have calculated analytically the coefficients $G_{ab}$ for the region giving the main contribution to the effect. Several distributions of pions are presented performing a numerical analysis in a model with point-like pions. In the region near the dipion threshold the asymmetry is of the order of 1%. We show that with suitable cuts the signal to background ratio can be increased up to about 10%.
dc.description16 pages, 10 figures, LaTeX, style files for EPJC included
dc.identifierhttps://arxiv.org/abs/hep-ph/0012069
dc.identifierhttp://arxiv.org/abs/hep-ph/0012069
dc.identifierEur.Phys.J.C18:731-746,2001
dc.identifierdoi:10.1007/s100520100583
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214785
dc.subjectHigh Energy Physics - Phenomenology
dc.titleCharge asymmetry of pions in the process $e^-e^+\to e^-e^+π^+π^-$
dc.typetext

Files

Collections