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Title: Novel demonstration of the renormalization group invariance of the fixed-order predictions using the principle of maximum conformality and the C -scheme coupling

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:
 [1] ;  [1] ;  [1] ;  [2]
  1. Chongqing Univ., Chongqing (China). Dept. of Physics
  2. SLAC National Accelerator Lab., Menlo Park, CA (United States)
Publication Date:
Report Number(s):
SLAC-PUB-17232
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:
11625520; AC02-76SF00515
Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 97; Journal Issue: 9; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Research Org:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org:
USDOE; National Natural Science Foundation of China (NNSFC)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI Identifier:
1458454

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., 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. doi:10.1103/physrevd.97.094030.
Wu, Xing-Gang, Shen, Jian-Ming, Du, Bo-Lun, and Brodsky, Stanley J. 2018. "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. doi:10.1103/physrevd.97.094030. https://www.osti.gov/servlets/purl/1458454.
@article{osti_1458454,
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 = {2018},
month = {5}
}