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

Abstract

The three precision measurements of the cross section $\sigma (e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma (\gamma ))$ 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 $\sigma (e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma (\gamma ))$. 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 $a_{\mu }^{{\pi }^{+}{\pi }^{-}}=(489.8\pm 1.7_{\mathrm{stat}}\pm 4.8_{\mathrm{sys}})\times 10^{-10}$.

arXiv comment20 pages, 8 figures. Version as published in JHEP 1803 (2018) 173

References in corpus (4)

• The muon $g-2$ and $\alpha (M_Z^2)$: a new data-based analysis
• Muon g-2 Theory: the Hadronic Part
• Improved iterative Bayesian unfolding
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Cited by in corpus (13)

• Leading hadronic contribution to the muon magnetic moment from lattice QCD
• The muon $g-2$ and $\alpha (M_Z^2)$: a new data-based analysis
• A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to $\mathbf{\alpha }({\mathbf{m}}_{\mathbf{Z}}^2)$
• Three-pion contribution to hadronic vacuum polarization
• Lattice calculation of the pion transition form factor with $N_f=2+1$ Wilson quarks
• Measurement of the ${\mathrm{e}}^{+}{\mathrm{e}}^{-}\to {\pi }^{+}{\pi }^{-}$ Cross Section between 600 and 900 MeV Using Initial State Radiation
• Constraints on the two-pion contribution to hadronic vacuum polarization
• Measurement of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ process cross section with the SND detector at the VEPP-2000 collider in the energy region $0.525<\sqrt{s}<0.883$ GeV
• Chiral extrapolation of hadronic vacuum polarization
• A ChPT estimate of the strong-isospin-breaking contribution to the anomalous magnetic moment of the muon
• Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in $e^{+}{e}^{-}$ collisions
• Study of pion vector form factor and its contribution to the muon $(g-2)$
• The hadronic vacuum polarisation contributions to the muon $g-2$