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Combination of KLOE $sigmabig(e^+e^-rightarrowpi^+pi^-gamma(gamma)big)$ measurements and determination of $a_{mu}^{pi^+pi^-}$ in the energy range $0.10 < s < 0.95$ GeV$^2$

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 Added by Graziano Venanzoni
 Publication date 2017
  fields
and research's language is English




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The three precision measurements of the cross section $sigmabig(e^+e^-rightarrowpi^+pi^-gamma(gamma)big)$ using initial state radiation by the KLOE collaboration provide an important input for the prediction of the hadronic contribution to the anomalous magnetic moment of the muon. These measurements are correlated for both statistical and systematic uncertainties and, therefore, the simultaneous use of these measurements requires covariance matrices that fully describe the correlations. We present the construction of these covariance matrices and use them to determine a combined KLOE measurement for $sigmabig(e^+e^-rightarrowpi^+pi^-gamma(gamma)big)$. We find, from this combination, a two-pion contribution to the muon magnetic anomaly in the energy range $0.10 < s < 0.95$ GeV$^2$ of $a_{mu}^{pi^+pi^-} = (489.8 pm 1.7_{rm stat} pm 4.8_{rm sys} ) times 10^{-10}$.



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We have measured the ratio $sigma(e^+e^-rightarrowpi^+pi^-gamma)/sigma(e^+e^-rightarrow mu^+mu^-gamma)$, with the KLOE detector at DA$Phi$NE for a total integrated luminosity of $sim$ 240 pb$^{-1}$. From this ratio we obtain the cross section $sigma(e^+e^-rightarrowpi^+pi^-)$. From the cross section we determine the pion form factor $|F_pi|^2$ and the two-pion contribution to the muon anomaly $a_mu$ for $0.592<M_{pipi}<0.975$ GeV, $Delta^{pipi} a_mu$= $({rm 385.1pm1.1_{stat}pm2.7_{sys+theo}})times10^{-10}$. This result confirms the current discrepancy between the Standard Model calculation and the experimental measurement of the muon anomaly.
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