{"@context":"http://schema.org","@id":"https://doi.org/10.17182/hepdata.96268.v1","@reverse":{"isBasedOn":[{"@type":"ScholarlyArticle","identifier":{"@type":"PropertyValue","propertyID":"URL","value":"https://inspirehep.net/literature/859660"}},{"@id":"https://doi.org/10.1016/j.physletb.2011.04.055","@type":"JournalArticle"}]},"@type":"Dataset","additionalType":"Collection","author":{"@type":"Organization","name":"KLOE Collaboration"},"creator":{"@type":"Organization","name":"KLOE Collaboration"},"datePublished":"2024","description":"We have measured the cross section of the radiative process $e^+e^- \\to \\pi^+\\pi^-\\gamma$ with the KLOE detector at the Frascati $\\phi$-factory DA$\\Phi$NE, from events taken at a CM energy W=1 GeV. Initial state radiation allows us to obtain the cross section for $e^+e^- \\to \\pi^+\\pi^-$, the pion form factor $|F_\\pi|^2$ and the dipion contribution to the muon magnetic moment anomaly, $\\Delta a_\\mu^{\\pi\\pi} = (478.5\\pm2.0_{stat}\\pm5.0_{syst}\\pm4.5_{th}) \\times 10^{-10}$ in the range $0.1 < M_{\\pi\\pi}^2 < 0.85$ GeV$^2$, where the theoretical error includes a SU(3) ChPT estimate of the uncertainty on photon radiation from the final pions. The discrepancy between the Standard Model evaluation of $a_\\mu$ and the value measured by the Muon g-2 collaboration at BNL is confirmed.","hasPart":[{"@id":"https://doi.org/10.17182/hepdata.96268.v1/t1","@type":"Dataset","description":"Differential cross section for $e^+e^-\\rightarrow\\pi^+\\pi^-\\gamma$, with $50^o<\\theta_\\gamma<130^o$","name":"Differential cross section"},{"@id":"https://doi.org/10.17182/hepdata.96268.v1/t2","@type":"Dataset","description":"Statistical covariance matrix for differential cross section for $e^+e^-\\rightarrow\\pi^+\\pi^-\\gamma$, with $50^o<\\theta_\\gamma<130^o$","name":"Differential cross-section statistical covariance"},{"@id":"https://doi.org/10.17182/hepdata.96268.v1/t3","@type":"Dataset","description":"Inverse statistical covariance matrix for differential cross section for $e^+e^-\\rightarrow\\pi^+\\pi^-\\gamma$, with $50^o<\\theta_\\gamma<130^o$","name":"Differential cross-section, inverse of  statistical covariance"},{"@id":"https://doi.org/10.17182/hepdata.96268.v1/t4","@type":"Dataset","description":"Breakdown of syst. uncertainties (fully bin-by-bin correlated) for differential cross section for $e^+e^-\\rightarrow\\pi^+\\pi^-\\gamma$, with $50^o<\\theta_\\gamma<130^o$","name":"Differential cross-section systematic uncertainties"},{"@id":"https://doi.org/10.17182/hepdata.96268.v1/t5","@type":"Dataset","description":"Bare cross section for $e^+e^-\\rightarrow\\pi^+\\pi^-$","name":"Bare cross-section"},{"@id":"https://doi.org/10.17182/hepdata.96268.v1/t6","@type":"Dataset","description":"Statistical covariance matrix for bare cross section for $e^+e^-\\rightarrow\\pi^+\\pi^-$","name":"Bare cross-section statistical covariance"},{"@id":"https://doi.org/10.17182/hepdata.96268.v1/t7","@type":"Dataset","description":"Inverse statistical covariance matrix for bare cross section for $e^+e^-\\rightarrow\\pi^+\\pi$","name":"Bare cross-section, inverse of  statistical covariance"},{"@id":"https://doi.org/10.17182/hepdata.96268.v1/t8","@type":"Dataset","description":"Breakdown of syst. uncertainties (fully bin-by-bin correlated) for the cross section for $e^+e^-\\rightarrow\\pi^+\\pi^-$","name":"Bare cross-section systematic uncertainties"},{"@id":"https://doi.org/10.17182/hepdata.96268.v1/t9","@type":"Dataset","description":"Pion form factor $|F_\\pi|^2$","name":"Pion form factor"},{"@id":"https://doi.org/10.17182/hepdata.96268.v1/t10","@type":"Dataset","description":"Statistical covariance matrix for pion form factor $|F_\\pi|^2$","name":"Pion form factor statistical covariance"},{"@id":"https://doi.org/10.17182/hepdata.96268.v1/t11","@type":"Dataset","description":"Inverse statistical covariance matrix $|F_\\pi|^2$","name":"Pion form factor, inverse of statistical covariance"},{"@id":"https://doi.org/10.17182/hepdata.96268.v1/t12","@type":"Dataset","description":"Breakdown of syst. uncertainties (fully bin-by-bin correlated) for the pion form factor $|F_\\pi|^2$","name":"Pion form factor systematic uncertainties"},{"@id":"https://doi.org/10.17182/hepdata.96268.v1/t13","@type":"Dataset","description":"Vacuum polarisation correction $\\delta_{VP}(s)=(\\frac{\\alpha_{em}(s)}{\\alpha_{em}(0)})^2$, with $\\sigma^{bare} = \\sigma^{dressed}/\\delta$ - calculated using the routine from F.Jegerlehner: https://web.archive.org/web/20170828074416/http://www-com.physik.hu-berlin.de/~fjeger/alphaQEDn.uu (2003, archived on August...","name":"Vacuum polarisation correction"},{"@id":"https://doi.org/10.17182/hepdata.96268.v1/t14","@type":"Dataset","description":"Final State Radiation correction $(1.+\\eta_{FSR}(s))$, evaluated using the formula in Eur. Phys. J. C 24, 51-69 (2002)","name":"Final State Radiation correction"},{"@id":"https://doi.org/10.17182/hepdata.96268.v1/t15","@type":"Dataset","description":"The differential radiator function cross section $H(M_{\\pi\\pi}^2,s)\\cdot \\frac{\\pi \\alpha^2 \\beta_\\pi^3}{3 M_{\\pi\\pi}^2 s}$, inclusive in $\\theta_\\gamma$, in bins of 0.01 GeV$^2$...","name":"ISR radiator function"}],"identifier":[{"@type":"PropertyValue","propertyID":"HEPDataRecord","value":"https://www.hepdata.net/record/ins859660?version=1"},{"@type":"PropertyValue","propertyID":"HEPDataRecordAlt","value":"https://www.hepdata.net/record/96268"}],"inLanguage":"en","name":"Measurement of $\\sigma(e^+ e^- \\to \\pi^+ \\pi^-)$ from threshold to 0.85 GeV$^2$ using Initial State Radiation with the KLOE detector","provider":{"@type":"Organization","name":"HEPData"},"publisher":{"@type":"Organization","name":"HEPData"},"url":"https://www.hepdata.net/record/ins859660?version=1","version":1}