  This talk discusses two analytical calculations relevant for the Standard
Model calculation of the muon $g-2$. The first part is the recent derivation of
the quark-loop as the first term in a well-defined operator-product expansion
for the short-distance part of the hadronic light-by-light contribution, as
well as the calculation of the next term. The second part is the calculation of
finite volume effects relevant for lattice QCD calculations of the
electromagnetic contribution to the lowest-order hadronic vacuum-polarization
contribution and the proof they only start at $1/L^3$.
