Electron-positron annihilation into four charged pions and the a_1-rho-pi Lagrangian

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dc.creatorLichard, Peter
dc.creatorJuran, Josef
dc.date2006-01-27
dc.date2007-10-05
dc.date.accessioned2026-07-07T11:04:58Z
dc.date.available2026-07-07T11:04:58Z
dc.descriptionThe excitation curve of e+e- annihilation into four charged pions in the rho(770) region is calculated using three existing models with rho mesons and pions in intermediate states supplemented by Feynman diagrams with the a_1(1260)pi intermediate states. A two-term phenomenological Lagrangian of the a_1-rho-pi interaction is used. The mixing angle is determined by fitting the e+e- --> pi+pi-pi+pi- cross section data of the Novosibirsk CMD-2 collaboration and also its combination with the low-energy part of the BaBar collaboration data. It is shown that the inclusion of the a_1-pi intermediate states succeeds in obtaining a good agreement with the data on both cross section and the rho^0 --> pi+pi-pi+pi- decay width. When moving to energies above 1 GeV, the rho(1450) and rho(1700) resonances are taken into account to get excellent agreement with the BaBar data over the full energy range up to 4.5 GeV.
dc.description15 pages, 6 figures. Largely extended. The title changed to reflect new content
dc.identifierhttps://arxiv.org/abs/hep-ph/0601234
dc.identifierhttp://arxiv.org/abs/hep-ph/0601234
dc.identifierPhys.Rev.D76:094030,2007
dc.identifierdoi:10.1103/PhysRevD.76.094030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189074
dc.subjectHigh Energy Physics - Phenomenology
dc.titleElectron-positron annihilation into four charged pions and the a_1-rho-pi Lagrangian
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