Study of the process $e^+e^- to K^+K^-$ in the center-of-mass energy range 1010--1060~MeV with the CMD-3 detector

The process $e^+e^- to K^+K^-$ has been studied using $1.7 times 10^6$ events from a data sample corresponding to an integrated luminosity of 5.7 pb$^{-1}$ collected with the CMD-3 detector in the center-of-mass energy range 1010--1060 MeV. The cross section measured with an about 2% systematic uncertainty and it is used to calculate the contribution to the anomalous magnetic moment of the muon $a_{mu}^{K^+K^-} = (19.33 pm 0.40) times 10^{-10}$, and to obtain the $phi(1020)$ meson parameters. We consider the relationship between the $e^+e^- to K^+K^-$ and $e^+e^- to K^0_SK^0_L$ cross sections and compare it to the theoretical expectations.