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We describe a lattice approach to calculating the leading-order hadroniccontribution to the anomalous magnetic moment of the muon. We employ latticemomentum derivatives, in both the spatial and temporal directions, to determinethe hadronic vacuum polarization scalar at low momenta and construct a smooth,intregrable function in this momentum region. The method is tested on onehex-smeared Wilson-quark lattice ensemble with physical pion masses.

A derivative-based approach for the leading order hadronic contribution to $g_\mu-2$