arXiv:hep-ph/9511430·v1·High Energy Physics — Phenomenology

Heavy Quark Vacuum Polarisation to Three Loops

K.G. Chetyrkin · J.H. Kuehn · M. Steinhauser

Abstract

The real and imaginary part of the vacuum polarisation function $Π (q^{2})$ induced by a massive quark is calculated in perturbative QCD up to order $α_{s}^{2}$ . The method is described and the results are presented. This extends the calculation by Källén and Sabry from two to three loops.

Comments: 10 pages, Latex, figures in a separate file. The complete paper, including figures, is also available via anonymous ftp at ftp://www-ttp.physik.uni-karlsruhe.de/ , or via www at http://www-ttp.physik.uni-karlsruhe.de/cgi-bin/preprints/