The three loop on-shell renormalization of QCD and QED

By K. Melnikov, T. V. Ritbergen. 2000

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The authors 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 Z{sub 2} are given. They find that at theta(alpha{sub 3}{sup 3}) the wave function renormalization constant Z{sub 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, they derive a theta(alpha{sub s}{sup s}) contribution to the anomalous dimension of the heavy quark field in HQET.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/aae3524b612e0c7dd56c13b7020419c3f43a52d8