{"@context":"http://schema.org","@id":"https://doi.org/10.17182/hepdata.155340.v1","@reverse":{"isBasedOn":[{"@type":"ScholarlyArticle","identifier":{"@type":"PropertyValue","propertyID":"URL","value":"https://inspirehep.net/literature/2775022"}},{"@id":"https://doi.org/10.1103/PhysRevD.110.112005","@type":"JournalArticle"}]},"@type":"Dataset","additionalType":"Collection","author":{"@type":"Organization","name":"Belle-II Collaboration"},"creator":{"@type":"Organization","name":"Belle-II Collaboration"},"datePublished":"2024","description":"We report a measurement of the $e^{+}e^{-} \\to \\pi^{+} \\pi^{-} \\pi^{0}$ cross section in the energy range from 0.62 to 3.50~GeV using an initial-state radiation technique. We use an $e^{+}e^{-}$ data sample corresponding to 191~fb$^{^-1}$ of integrated luminosity, collected at a center-of-mass energy at or near the $\\Upsilon (4S)$ resonance with the \\belletwo detector at the SuperKEKB collider. Signal yields are extracted by fitting the two-photon mass distribution in $e^{+}e^{-} \\to  \\pi^{+} \\pi^{-} \\pi^{0} \\gamma$ events, which involve a $\\pi^{0} \\to \\gamma \\gamma$ decay and an energetic photon radiated from the initial state. Signal efficiency corrections with an accuracy of 1.6\\% are obtained from several control data samples.The uncertainty on the cross section at the $\\omega$ and $\\phi$ resonances is dominated by the systematic uncertainty of 2.2\\%. The resulting cross sections in the 0.62--1.80~GeV energy range yield $a^{3\\pi}_{\\mu} = [48.91 \\pm 0.23~(\\mathrm{stat}) \\pm 1.07~(\\mathrm{syst})] \\times 10^{-10}$ for the leading-order hadronic vacuum polarization contribution to the muon anomalous magnetic moment. This result differs by $2.5$ standard deviations from the most precise current determination.","hasPart":[{"@id":"https://doi.org/10.17182/hepdata.155340.v1/t1","@type":"Dataset","description":"Energy bin range ($\\sqrt{s'}$), number of events after unfolding ($N_{\\mathrm{unf}}$), corrected efficiency ($\\varepsilon$), and cross section ($\\sigma_{3\\pi}$) for $e^{+}e^{-} \\to...","name":"Table III: Cross section in energy range 0.62-1.05 GeV"},{"@id":"https://doi.org/10.17182/hepdata.155340.v1/t2","@type":"Dataset","description":"Energy bin range ($\\sqrt{s'}$), number of events after unfolding ($N_{\\mathrm{unf}}$), corrected efficiency ($\\varepsilon$), and cross section ($\\sigma_{3\\pi}$) for $e^{+}e^{-} \\to...","name":"Table IV: Cross section in energy range 1.05-3.5 GeV"},{"@id":"https://doi.org/10.17182/hepdata.155340.v1/t3","@type":"Dataset","description":"The statistic covariance matrix for the $e^+e^- \\to \\pi^+ \\pi^- \\pi^0$ cross section measurement at the Belle II. The 212...","name":"Cross section, statistical covariance"},{"@id":"https://doi.org/10.17182/hepdata.155340.v1/t4","@type":"Dataset","description":"The systematic covariance matrix for the $e^+e^- \\to \\pi^+ \\pi^- \\pi^0$ cross section measurement at the Belle II. The 212...","name":"Cross section, systematic covariance"},{"@id":"https://doi.org/10.17182/hepdata.155340.v1/t5","@type":"Dataset","description":"This table provides the ``inverse'' of the total (stat.+ sys.) covariance matrix. This matrix can be used for a chi-square...","name":"Cross section, inverse covariance covariance"}],"identifier":[{"@type":"PropertyValue","propertyID":"HEPDataRecord","value":"https://www.hepdata.net/record/ins2775022?version=1"},{"@type":"PropertyValue","propertyID":"HEPDataRecordAlt","value":"https://www.hepdata.net/record/155340"}],"inLanguage":"en","name":"Measurement of the $e^+e^- \\to \\pi^+\\pi^-\\pi^0$ cross section in the energy range 0.62-3.50 GeV at Belle II","provider":{"@type":"Organization","name":"HEPData"},"publisher":{"@type":"Organization","name":"HEPData"},"url":"https://www.hepdata.net/record/ins2775022?version=1","version":1}