Novel demonstration of the renormalization group invariance of the fixed-order predictions using the principle of maximum conformality and the -scheme coupling
Abstract
As a basic requirement of the renormalization group invariance, any physical observable must be independent of the choice of both the renormalization scheme and the initial renormalization scale. Here in this article, we show that by using the newly suggested C -scheme coupling, one can obtain a demonstration that the principle of maximum conformality prediction is scheme-independent to all-orders for any renormalization schemes, thus satisfying all of the conditions of the renormalization group invariance. We illustrate these features for the nonsinglet Adler function and for τ decay to ν+ hadrons at the four-loop level.
- Authors:
- Publication Date:
- Research Org.:
- SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE; National Natural Science Foundation of China (NSFC)
- OSTI Identifier:
- 1439382
- Alternate Identifier(s):
- OSTI ID: 1458454
- Report Number(s):
- SLAC-PUB-17232
Journal ID: ISSN 2470-0010; PRVDAQ; 094030
- Grant/Contract Number:
- AC02-76SF00515; 11625520
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 9; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Wu, Xing-Gang, Shen, Jian-Ming, Du, Bo-Lun, and Brodsky, Stanley J. Novel demonstration of the renormalization group invariance of the fixed-order predictions using the principle of maximum conformality and the C -scheme coupling. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.97.094030.
Wu, Xing-Gang, Shen, Jian-Ming, Du, Bo-Lun, & Brodsky, Stanley J. Novel demonstration of the renormalization group invariance of the fixed-order predictions using the principle of maximum conformality and the C -scheme coupling. United States. https://doi.org/10.1103/PhysRevD.97.094030
Wu, Xing-Gang, Shen, Jian-Ming, Du, Bo-Lun, and Brodsky, Stanley J. Tue .
"Novel demonstration of the renormalization group invariance of the fixed-order predictions using the principle of maximum conformality and the C -scheme coupling". United States. https://doi.org/10.1103/PhysRevD.97.094030.
@article{osti_1439382,
title = {Novel demonstration of the renormalization group invariance of the fixed-order predictions using the principle of maximum conformality and the C -scheme coupling},
author = {Wu, Xing-Gang and Shen, Jian-Ming and Du, Bo-Lun and Brodsky, Stanley J.},
abstractNote = {As a basic requirement of the renormalization group invariance, any physical observable must be independent of the choice of both the renormalization scheme and the initial renormalization scale. Here in this article, we show that by using the newly suggested C -scheme coupling, one can obtain a demonstration that the principle of maximum conformality prediction is scheme-independent to all-orders for any renormalization schemes, thus satisfying all of the conditions of the renormalization group invariance. We illustrate these features for the nonsinglet Adler function and for τ decay to ν+ hadrons at the four-loop level.},
doi = {10.1103/PhysRevD.97.094030},
journal = {Physical Review D},
number = 9,
volume = 97,
place = {United States},
year = {Tue May 29 00:00:00 EDT 2018},
month = {Tue May 29 00:00:00 EDT 2018}
}
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https://doi.org/10.1103/PhysRevD.97.094030
https://doi.org/10.1103/PhysRevD.97.094030
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Cited by: 19 works
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Works referencing / citing this record:
Renormalization-scheme variation of a QCD perturbation expansion with tamed large-order behavior
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