The three loop on-shell renormalization of QCD and QED

Details The three loop on-shell renormalization of QCD and QED The three loop on-shell renormalization of QCD and QED

2000-05-14

arxiv.org/abs/hep-ph/0005131v1

Nucl.Phys. B591 (2000) 515-546

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, 2 figures, revtex

Scientific paper

10.1016/S0550-3213(00)00526-5

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.

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