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Erratum to Measurement of the $e^+e^-topi^+pi^-$ cross section between 600 and 900 MeV using initial state radiation

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 Publication date 2020
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In Phys. Lett. B 753, 629-638 (2016) [arXiv:1507.08188] the BESIII collaboration published a cross section measurement of the process $e^+e^-to pi^+ pi^-$ in the energy range between 600 and 900 MeV. In this erratum we report a corrected evaluation of the statistical errors in terms of a fully propagated covariance matrix. The correction also yields a reduced statistical uncertainty for the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon, which now reads as $a_mu^{pipimathrm{, LO}}(600 - 900,mathrm{MeV}) = (368.2 pm 1.5_{rm stat} pm 3.3_{rm syst})times 10^{-10}$. The central values of the cross section measurement and of $a_mu^{pipimathrm{, LO}}$, as well as the systematic uncertainties remain unchanged.



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We extract the $e^+e^-rightarrow pi^+pi^-$ cross section in the energy range between 600 and 900 MeV, exploiting the method of initial state radiation. A data set with an integrated luminosity of 2.93 fb$^{-1}$ taken at a center-of-mass energy of 3.773 GeV with the BESIII detector at the BEPCII collider is used. The cross section is measured with a systematic uncertainty of 0.9%. We extract the pion form factor $|F_pi|^2$ as well as the contribution of the measured cross section to the leading order hadronic vacuum polarization contribution to $(g-2)_mu$. We find this value to be $a_mu^{pipi,rm LO}(600-900;rm MeV) = (368.2 pm 2.5_{rm stat} pm 3.3_{rm sys})cdot 10^{-10}$.
We study the process e+e- -> pi+pi-pi+pi-gamma, with a photon emitted from the initial-state electron or positron, using 454.3 fb^-1 of data collected with the BABAR detector at SLAC, corresponding to approximately 260,000 signal events. We use these data to extract the non-radiative sigma(e+e- ->pi+pi-pi+pi-) cross section in the energy range from 0.6 to 4.5 Gev. The total uncertainty of the cross section measurement in the peak region is less than 3%, higher in precision than the corresponding results obtained from energy scan data.
75 - Benedikt Kloss 2015
Using a data set with an integrated luminosity of 2.93 fb$^{-1}$ taken at a center-of-mass energy of 3.773 GeV with the BESIII detector at the BEPCII collider, we extract the $e^+e^-rightarrow pi^+pi^-$ cross section and the pion form factor $|F_pi|^2$ in the energy range between 600 and 900 MeV. We exploit the method of initial state radiation for this measurement, yielding a systematic uncertainty of 0.9%. We calculate the contribution of the measured cross section to the leading-order hadronic vacuum polarization contribution to $(g-2)_mu$.
The cross section of the process $e^+e^-topi^+pi^-pi^0$ is measured with a precision of 1.6% to 25% in the energy range between $0.7$ and 3.0 GeV using the Initial State Radiation method. A data set with an integrated luminosity of $2.93$fb$^{-1}$ taken at the center-of-mass energy of $sqrt{s}=3.773$GeV with the BESIII detector at the BEPCII collider is used. The product branching fractions for $omega$, $phi$, $omega(1420)$, and $omega(1650)$ are measured to be $mathcal{B}(omegato e^+e^-) times mathcal{B}(omega to pi^+pi^-pi^0)=(6.94pm0.08pm0.16) times 10^{-5}$, $mathcal{B}(phito e^+e^-) times mathcal{B}(phitopi^+pi^-pi^0) = (4.20pm0.08pm0.19) times 10^{-5}$, $mathcal{B}(omega(1420)to e^+e^-) times mathcal{B}(omega(1420) to pi^+pi^-pi^0) = (0.84pm0.09pm0.09) times 10^{-6}$, and $mathcal{B}(omega(1650) to e^+e^) times mathcal{B}(omega(1650)to pi^+pi^-pi^0) = (1.14pm0.15pm0.15)times10^{-6}$, respectively. The branching fraction $mathcal{B}(J/psito pi^+pi^-pi^0)$ is measured to be $(2.188 pm 0.024 pm 0.024 pm0.040 (Gamma_{ee}^{J/psi}))%$, where $Gamma_{ee}^{J/psi}$ is the dileptonic width of $J/psi$. The first errors are of statistical, the second and third ones of systematic nature.
The cross section for e^+e^- to pi^+pi^-J/psi between 3.8 and 5.5 GeV/c^2 is measured using a 548 fb^{-1} data sample collected on or near the Upsilon(4S) resonance with the Belle detector at KEKB. A peak near 4.25 GeV/c^2, corresponding to the so called Y(4260), is observed. In addition, there is another cluster of events at around 4.05 GeV/c^2. A fit using two interfering Breit-Wigner shapes describes the data better than one that uses only the Y(4260), especially for the lower mass side of the 4.25 GeV enhancement.
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