Study of electron-positron annihilation into $K\bar{K}π$ within resonance chiral theory

Abstract

In this paper, a coherent study of the $e^+e^-$ annihilation into $K^+K^-π^0$, $K^0_SK^0_Lπ^0$ and $K^0_SK^\pmπ^\mp$ 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 $σ(e^+e^- \to K\bar{K}π)$ to the anomalous magnetic moment of the muon, $(g-2)_μ$, is obtained as $a_μ^{\rm HVP,LO}(e^+e^- \to K\bar{K}π)=(3.178\pm0.071)\times10^{-10}$ up to $E_{\rm cm}=2.3$ GeV.