Skip to content

The three loop on-shell renormalization of QCD and QED

Kirill Melnikov, Timo van Ritbergen

hep-pharXiv:hep-ph/0005131

Abstract

We describe a calculation of the on-shell renormalization factors in QCD and QED at the three loop level. Explicit results for the fermion mass renormalization factor Zm and the on-shell fermion wave function renormalization constant Z2 are given. We find that at O(alphas3) the wave function renormalization constant Z2 in QCD becomes gauge dependent also in the on-shell scheme, thereby disproving the ``gauge-independence'' conjecture based on an earlier two-loop result. As a byproduct, we derive an O(alphas3) contribution to the anomalous dimension of the heavy quark field in HQET.

Create a lesson