Hadronic vacuum polarization in finite volume using NNLO ChPT

Abstract: We present results for the leading hadronic contribution to the muon $g-2$ from configurations with 2+1+1 flavors of HISQ quarks. The ensembles have been generated by the MILC collaboration at three lattice spacings. Using the time-momentum representation of the electromagnetic current correlator, we calculate the finite volume effects up to next-to-next-to-leading-order in Chiral Perturbation Theory.