  A new QCD sum rule determination of the leading order hadronic vacuum
polarization contribution to the anomalous magnetic moment of the muon,
$a_{\mu}^{\rm hvp}$, is proposed. This approach combines data on $e^{+}e^{-}$
annihilation into hadrons, perturbative QCD and lattice QCD results for the
first derivative of the electromagnetic current correlator at zero momentum
transfer, $\Pi_{\rm EM}^\prime(0)$. The idea is based on the observation that,
in the relevant kinematic domain, the integration kernel $K(s)$, entering the
formula relating $a_{\mu}^{\rm hvp}$ to $e^{+}e^{-}$ annihilation data, behaves
like $1/s$ times a very smooth function of $s$, the squared energy. We find an
expression for $a_{\mu}$ in terms of $\Pi_{\rm EM}^\prime(0)$, which can be
calculated in lattice QCD. Using recent lattice results we find a good
approximation for $a_{\mu}^{\rm hvp}$, but the precision is not yet sufficient
to resolve the discrepancy between the $R(s)$ data-based results and the
experimentally measured value.

High Energy Physics - Phenomenology;High Energy Physics - Lattice