Higher Moments of Heavy Quark Vacuum Polarization

Abstract

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.

Comments: 9 pages, LaTeX, no figures, sprocl.sty provided (To appear in the Proceedings of the Second Workshop on Continuous Advances in QCD, Minneapolis, U.S.A., March 1996). Postscript also available at ftp://www-ttp.physik.uni-karlsruhe.de/ttp96-22/ttp96-22.ps or at http://www-ttp.physik.uni-karlsruhe.de/cgi-bin/preprints/