Electron-positron annihilation into KK̄π and their contributions to (g-2)_μ

In this paper, a coherent study of the e⁺e⁻ annihilation into K⁺K⁻π⁰, K⁰SK⁰Lπ⁰ and K⁰SK^±π^∓ 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⁻ → KK̄π) to the anomalous magnetic moment of the muon, (g-2)_μ, is obtained as a_μHVP,LO(e⁺e⁻ → KK̄π)=(3.07±0.07)×10⁻¹⁰ up to Ecm=2.3 GeV.