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

@article{Chetyrkin2006FourloopMO,
  title={Four-loop moments of the heavy quark vacuum polarization function in perturbative QCD},
  author={K. G. Chetyrkin and Johann H. Kuehn and C. Sturm},
  journal={The European Physical Journal C - Particles and Fields},
  year={2006},
  volume={48},
  pages={107-110}
}
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.