  In the present work, we investigate several theoretical models of the pion
vector form factor and aim at getting the best fit for the two-pion cross
sections to reduce the uncertainties of the calculation of two-pion
contribution to the muon anomalous magnetic moment. Combined with a polynomial
description to the pion vector form factor, we obtain the best fit from the
Gounaris-Sakurai (or K\"uhn-Santamaria) model for the experimental data up to 1
GeV. By product, the branching ratio of $\omega \to \pi\pi$ can be extracted as
$\text{Br}(\omega\to\pi\pi)=(1.52\pm 0.06) \%$, which is consistent with the
one of Particle Data Group. With the best fit of the data, we obtain the muon
anomalous magnetic moment from two-pion contribution as
$a_{\mu}^{\mathrm{HVP,\; LO}}(\pi^{+} \pi^{-} \leq 1\ \text{GeV}) =
(497.76\pm3.15) \times 10^{-10}$. Our results are consistent with the other
works.
