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Title: The Three Loop On-Shell Renormalization of QCD and QED

Abstract

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.

Authors:
Publication Date:
Research Org.:
Stanford Linear Accelerator Center, Menlo Park, CA (US)
Sponsoring Org.:
USDOE Office of Energy Research (ER) (US)
OSTI Identifier:
763774
Report Number(s):
SLAC-PUB-8450
TRN: US0004810
DOE Contract Number:  
AC03-76SF00515
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: 16 May 2000
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM CHROMODYNAMICS; QUANTUM ELECTRODYNAMICS; MASS RENORMALIZATION; FERMIONS; WAVE FUNCTIONS

Citation Formats

Melnikov, Kirill. The Three Loop On-Shell Renormalization of QCD and QED. United States: N. p., 2000. Web. doi:10.2172/763774.
Melnikov, Kirill. The Three Loop On-Shell Renormalization of QCD and QED. United States. doi:10.2172/763774.
Melnikov, Kirill. Tue . "The Three Loop On-Shell Renormalization of QCD and QED". United States. doi:10.2172/763774. https://www.osti.gov/servlets/purl/763774.
@article{osti_763774,
title = {The Three Loop On-Shell Renormalization of QCD and QED},
author = {Melnikov, Kirill},
abstractNote = {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.},
doi = {10.2172/763774},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2000},
month = {5}
}

Technical Report:

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