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Study of electron-positron annihilation into $K\bar{K}\pi$ within resonance chiral theory
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abstract
In this paper, a coherent study of the $e^+e^-$ annihilation into $K^+K^-\pi^0$, $K^0_SK^0_L\pi^0$ and $K^0_SK^\pm\pi^\mp$ is carried out within the framework of resonance chiral theory. The amplitudes are fixed by fitting to the experimental cross-section and invariant mass spectrum. With these amplitudes, one can calculate the hadronic vacuum polarization form factors of these processes. The leading order contributions of $\sigma(e^+e^- \to K\bar{K}\pi)$ to the anomalous magnetic moment of the muon, $(g-2)_\mu$, is obtained as $a_\mu^{\rm HVP,LO}(e^+e^- \to K\bar{K}\pi)=(3.178\pm0.071)\times10^{-10}$ up to $E_{\rm cm}=2.3$ GeV.
Forward citations
Cited by 2 Pith papers
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Compatibility between $e^+e^-$ and $\tau$ decay data in the di-pion channel and implications for $a_\mu^\mathrm{SM}$ and CVC tests
Updated isospin-breaking corrections bring tau decay data into agreement with the new CMD-3 e+e- result, supporting a tau-based hadronic vacuum polarization estimate that reduces the muon g-2 tension to 2.7 sigma.
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Hadronic vacuum polarization contribution to the muon g-2 on Euclidean windows from tau data
Tau data give an independent, lattice-compatible value for the intermediate-window hadronic vacuum polarization, disagreeing with the e+e- data-driven value that drives the muon g-2 tension.
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