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The process $e^+e^-\to K^+K^-\pi^0$ is studied with the SND detector at theVEPP-2000 $e^+e^-$ collider. Basing on data with an integrated luminosity of26.4~pb$^{-1}$ we measure the $e^+e^-\to K^+K^-\pi^0$ cross section in thecenter-of-mass energy range from 1.28 up to 2 GeV. The measured mass spectrumof the $K\pi$ system indicates that the dominant mechanism of this reaction isthe transition through the $K^{\ast}(892)K$ intermediate state. The crosssection for the $\phi\pi^0$ intermediate state is measured separately. The SNDresults are consistent with previous measurements in the BABAR experiment andhave comparable accuracy. We study the effect of the interference between the$\phi\pi^0$ and $K^\ast K$ amplitudes. It is found that the interference givessizable contribution to the measured $e^+e^- \to \phi \pi^0\to K^+K^-\pi^0$cross section below 1.7 GeV.

Measurement of the $e^+e^- \to K^+ K^- \pi^0$ cross section with the SND detector