Higher Moments of Heavy Quark Vacuum Polarization
  We present analytical calculation of the first seven moments of the heavy quark vacuum polarization function in the three-loop order. The obtained results are compared against the asymptotic formulas following from the threshold singularities. We also discuss the $\mu$ dependence of the moments within the BLM procedure. 
K.G. Chetyrkin, J.H. K\"uhn, M. Steinhauser