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 Z m and the on-shell fermion wave function renormalization constant Z 2 are given. We find that at O(α s 3) the wave function renorma...

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Bibliographic Details
Published in:Nuclear physics. B 2000-12, Vol.591 (1), p.515-546
Main Authors: Melnikov, Kirill, van Ritbergen, Timo
Format: Article
Language:English
Subjects:
Perturbative calculations
Renormalization factors
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Summary: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 Z m and the on-shell fermion wave function renormalization constant Z 2 are given. We find that at O(α s 3) the wave function renormalization constant Z 2 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(α s 3) contribution to the anomalous dimension of the heavy quark field in HQET.
ISSN:0550-3213
1873-1562
DOI:10.1016/S0550-3213(00)00526-5