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

Wu, Xing-Gang; Shen, Jian-Ming; Du, Bo-Lun; Brodsky, Stanley J.

doi:10.1103/PhysRevD.97.094030

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

Journal Article · Tue May 29 00:00:00 EDT 2018 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.97.094030· OSTI ID:1439382

Wu, Xing-Gang; Shen, Jian-Ming; Du, Bo-Lun; Brodsky, Stanley J.

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.

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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE; National Natural Science Foundation of China (NSFC)

Grant/Contract Number:: AC02-76SF00515; 11625520

OSTI ID:: 1439382

Alternate ID(s):: OSTI ID: 1458454

Report Number(s):: SLAC-PUB-17232; PRVDAQ; 094030

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 97 Journal Issue: 9; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 19 works

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The $$\Upsilon (1S)$$ leptonic decay using the principle of maximum conformality Huang, Xu-Dong; Wu, Xing-Gang; Zeng, Jun The European Physical Journal C, Vol. 79, Issue 8 https://doi.org/10.1140/epjc/s10052-019-7158-9	journal	August 2019

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