Study of the pion vector form factor and its contribution to the muon g−2

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