Short-distance contributions to Hadronic-light-by-light for the muon $g-2$

This talk discusses short-distance contributions to the hadronic light-by-light part of the muon g-2 as in the Standard Model. A short discussion about the theory prediction is followed by the status of our work. The main new results since the previous chiral dynamics workshop is how to calculate the higher order corrections to the Melnikov-Vainshtein region using the operator product expansion. We work out fully the next order in the OPE, $D=4$, including photon and gluon only operators. In addition we briefly discuss the ongoing work on gluonic corrections to the next-order and nonperturbative estimates.