Hadronic contributions to theg-2of the muon

We compute the hadronic vacuum-polarization contributions $a_v$ to the muon anomalous magnetic moment $a_{\mu }$. To improve on previous calculations, we use QCD at large energies, and exploit the analyticity properties of the pion form factor. We find $a_v$=(7100±105±49)×${10}^{\mathrm{-}11}$, with which we have $a_{\mu }$(theory)=(116 592 051±114±49)×${10}^{\mathrm{-}11}$. Purely QCD bounds for $a_v$ are also presented.