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 — preprints:2000:ttp00-08 [2016/03/17 11:03] (current) Line 1: Line 1: + ====== TTP00-08 The three-loop on-shell renormalization of QCD and QED ====== + + + <​hidden TTP00-08 ​ The three-loop on-shell renormalization of QCD and QED >   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. + ​ + |**Kirill Melnikov and Timo van Ritbergen** ​ | + |**  Nucl. Phys.  B591 515-546 2000  **  | + | {{preprints:​2000:​ttp00-08.pdf|PDF}} {{preprints:​2000:​ttp00-08.ps|PostScript}} [[http://​arxiv.org/​abs/​hep-ph/​0005131|arXiv]] ​  | + | |