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

被引：141

作者：

Melnikov, K ^{[1
]}

van Ritbergen, T

机构：

[1] Stanford Univ, Stanford Linear Accelerator Ctr, Stanford, CA 94309 USA

[2] Univ Karlsruhe, Inst Theoret Teilchenphys, D-76128 Karlsruhe, Germany

来源：

NUCLEAR PHYSICS B | 2000年 / 591卷 / 1-2期

基金：

美国能源部;

关键词：

perturbative calculations; renormalization factors;

D O I：

10.1016/S0550-3213(00)00526-5

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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(alpha (3)(s)) 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(alpha (3)(s)) contribution to the anomalous dimension of the heavy quark field in HQET. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：515 / 546

页数：32

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