Leading-order hadronic contributions to aμ and αQED from Nf=2+1+1 twisted mass fermions

We present the first four-flavour lattice calculation of the leading-order hadronic vacuum-polarisation contribution to the anomalous magnetic moment of the muon, aμhvp, and the hadronic running of the QED coupling constant, Δ αQEDhvp (Q2). In the heavy sector a mixed-action setup is employed. The bare quark masses are determined from matching the K- and D-meson masses to their physical values. Several light quark masses are used in order to yield a controlled extrapolation to the physical pion mass by utilising a recently proposed improved method. We demonstrate that this method also works in the four-flavour case.