{"@context":"http://schema.org","@id":"https://doi.org/10.17182/hepdata.176677.v1","@reverse":{"isBasedOn":[{"@type":"ScholarlyArticle","identifier":{"@type":"PropertyValue","propertyID":"URL","value":"https://inspirehep.net/literature/1937349"}},{"@id":"https://doi.org/10.1103/PhysRevD.104.112003","@type":"JournalArticle"}]},"@type":"Dataset","additionalType":"Collection","author":[{"@type":"Organization","name":"BABAR Collaboration"},{"@type":"Organization","name":"BaBar Collaboration"}],"creator":[{"@type":"Organization","name":"BABAR Collaboration"},{"@type":"Organization","name":"BaBar Collaboration"}],"datePublished":"2026","description":"The process $e^+e^-\\to \\pi^+\\pi^-\\pi^0\\gamma$ is studied at a center-of-mass energy near the $\\Upsilon(4S)$ resonance using a data sample of 469 fb$^{-1}$ collected with the BABAR detector at the PEP-II collider. We have performed a precise measurement of the $e^+e^-\\to \\pi^+\\pi^-\\pi^0$ cross section in the center-of-mass energy range from 0.62 to 3.5 GeV. In the energy regions of the $\\omega$ and $\\phi$ resonances, the cross section is measured with a systematic uncertainty of 1.3%. The leading-order hadronic contribution to the muon magnetic anomaly calculated using the measured $e^+e^-\\to \\pi^+\\pi^-\\pi^0$ cross section from threshold to 2.0 GeV is $(45.86 \\pm 0.14 \\pm 0.58)\\times 10^{-10}$. From the fit to the measured $3\\pi$ mass spectrum we have determined the resonance parameters $\\Gamma(\\omega\\to e^+e^-){\\cal B}(\\omega\\to \\pi^+\\pi^-\\pi^0)=(0.5698\\pm0.0031\\pm0.0082) \\mbox{ keV}$, $\\Gamma(\\phi\\to e^+e^-){\\cal B}(\\phi\\to \\pi^+\\pi^-\\pi^0)=(0.1841\\pm0.0021\\pm0.0080) \\mbox{ keV}$, and ${\\cal B}(\\rho\\to 3\\pi)=(0.88\\pm 0.23\\pm 0.30)\\times 10^{-4}$. The significance of the $\\rho\\to 3\\pi$ signal is greater than $6\\sigma$. For the $J/\\psi$ resonance we have measured the product ${\\Gamma(J/\\psi\\to e^+e^-){\\cal B}(J/\\psi\\to 3\\pi)}=(0.1248\\pm0.0019\\pm0.0026)\\mbox{ keV}$. NUMERICAL VALUES HAVE BEEN DIGITISED FROM THE PAPER.","hasPart":[{"@id":"https://doi.org/10.17182/hepdata.176677.v1/t1","@type":"Dataset","description":"$\\sigma(e^+e^-\\to \\pi^+\\pi^-\\pi^0)$","name":"Table 1"}],"identifier":[{"@type":"PropertyValue","propertyID":"HEPDataRecord","value":"https://www.hepdata.net/record/ins1937349?version=1"},{"@type":"PropertyValue","propertyID":"HEPDataRecordAlt","value":"https://www.hepdata.net/record/176677"}],"inLanguage":"en","name":"Study of the process $e^+e^-\\to \\pi^+\\pi^-\\pi^0$ using initial state radiation with BABAR","provider":{"@type":"Organization","name":"HEPData"},"publisher":{"@type":"Organization","name":"HEPData"},"url":"https://www.hepdata.net/record/ins1937349?version=1","version":1}