The three loop on-shell renormalization of QCD and QED
High Energy Physics - Phenomenology
2009-10-31 v1
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(alpha_s^3) 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(alpha_s^3) contribution to the anomalous dimension of the heavy quark field in HQET.
Keywords
Cite
@article{arxiv.hep-ph/0005131,
title = {The three loop on-shell renormalization of QCD and QED},
author = {Kirill Melnikov and Timo van Ritbergen},
journal= {arXiv preprint arXiv:hep-ph/0005131},
year = {2009}
}
Comments
24 pages, 2 figures, revtex