Remarkable suppression of the $e^{+}e^{-}\to\pi^{+}\pi^{-}$ contribution error into muon $g-2$

We use the unitary and analytic model of the pion electromagnetic form factor in order to evaluate in the lowest order the $e^{+}e^{-}\to\pi^{+}\pi^{-}$ contribution into the muon magnetic anomaly. We demonstrate, that this technique enables us to reduce the uncertainty of the theoretical prediction importantly in comparison to usual approaches, where the measured data are integrated directly.