Feasibility study of combined LQCD and experimental data on pion TFF via modified z-expansion fit reports up to 3x uncertainty reduction in singly-virtual limit but only 1.5x improvement for the pion-pole g-2 contribution.
Study of the reaction $e^+e^- \to \pi^0\gamma$ with the SND detector at the VEPP-2M collider
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abstract
The process $e^+e^- \to \pi^0\gamma$ has been studied in the experiment with the SND detector at the VEPP-2M $e^+e^-$ collider. The $e^+e^- \to \pi^0\gamma$ cross section has been measured in the center-of-mass energy range from 0.60 to 1.38 GeV. The cross section is well described by the vector meson dominance model. From the fit to the cross section data we have determined the branching fractions $B(\rho\to\pi^0\gamma)=(4.20\pm0.52)\times10^{-4}$, $B(\omega\to\pi^0\gamma)=(8.88\pm0.18)\%$, $B(\phi\to\pi^0\gamma)=(1.367\pm0.072)\times10^{-3}$, and the relative phase between the $\rho$ and $\omega$ amplitudes $\varphi_{\rho}=(-12.7\pm4.5)^\circ$. Our data on the process $e^+e^- \to \pi^0\gamma$ are the most accurate to date.
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The Standard Model value for the muon anomalous magnetic moment is 116591810(43)×10^{-11}, 3.7σ below the Brookhaven experimental measurement.
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Combined Analysis of Lattice QCD and Experimental Data on the Pion Transition Form Factor
Feasibility study of combined LQCD and experimental data on pion TFF via modified z-expansion fit reports up to 3x uncertainty reduction in singly-virtual limit but only 1.5x improvement for the pion-pole g-2 contribution.
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The anomalous magnetic moment of the muon in the Standard Model
The Standard Model value for the muon anomalous magnetic moment is 116591810(43)×10^{-11}, 3.7σ below the Brookhaven experimental measurement.