# TTP06-15 Four-loop moments of the heavy quark vacuum polarization function in perturbative QCD

TTP06-15 Four-loop moments of the heavy quark vacuum polarization function in perturbative QCD

TTP06-15 Four-loop moments of the heavy quark vacuum polarization function in perturbative QCD

New results at four-loop order in perturbative QCD for the first two Taylor coefficients of the heavy quark vacuum polarization function are presented. They can be used to perform a precise determination of the charm- and bottom-quark mass. Implications for the value of the quark masses are briefly discussed.

 K.G. Chetyrkin, J.H. K\“uhn and C. Sturm Eur. Phys. J. C48 107-110 2006 PDF PostScript arXiv