Extending the predictive power of perturbative QCD
Abstract
The predictive power of perturbative QCD (pQCD) depends on two important issues: (1) how to eliminate the renormalization scheme-and-scale ambiguities at fixed order, and (2) how to reliably estimate the contributions of unknown higher-order terms using information from the known pQCD series. The Principle of Maximum Conformality (PMC) satisfies all of the principles of the renormalization group and eliminates the scheme-and-scale ambiguities by the recursive use of the renormalization group equation to determine the scale of the QCD running coupling αs at each order. Moreover, the resulting PMC predictions are independent of the choice of the renormalization scheme, satisfying the key principle of renormalization group invariance. In this paper, we show that by using the conformal series derived using the PMC single-scale procedure, in combination with the Padé Approximation Approach (PAA), one can achieve quantitatively useful estimates for the unknown higher-order terms from the known perturbative series. We illustrate this procedure for three hadronic observables Re+e–, Rτ, and Γ(H → bb¯) which are each known to 4 loops in pQCD. We show that if the PMC prediction for the conformal series for an observable (of leading order αps) has been determined at order αns, then the [] = [0/n–p] Padémore »
- Authors:
-
- Chongqing Univ., Chongqing (People's Republic of China)
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Publication Date:
- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1506173
- Grant/Contract Number:
- AC02-76SF00515; 11625520
- Resource Type:
- Accepted Manuscript
- Journal Name:
- European Physical Journal. C, Particles and Fields
- Additional Journal Information:
- Journal Volume: 79; Journal Issue: 3; Journal ID: ISSN 1434-6044
- Publisher:
- Springer
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Du, Bo -Lun, Wu, Xing -Gang, Shen, Jian -Ming, and Brodsky, Stanley J. Extending the predictive power of perturbative QCD. United States: N. p., 2019.
Web. doi:10.1140/epjc/s10052-019-6704-9.
Du, Bo -Lun, Wu, Xing -Gang, Shen, Jian -Ming, & Brodsky, Stanley J. Extending the predictive power of perturbative QCD. United States. https://doi.org/10.1140/epjc/s10052-019-6704-9
Du, Bo -Lun, Wu, Xing -Gang, Shen, Jian -Ming, and Brodsky, Stanley J. Thu .
"Extending the predictive power of perturbative QCD". United States. https://doi.org/10.1140/epjc/s10052-019-6704-9. https://www.osti.gov/servlets/purl/1506173.
@article{osti_1506173,
title = {Extending the predictive power of perturbative QCD},
author = {Du, Bo -Lun and Wu, Xing -Gang and Shen, Jian -Ming and Brodsky, Stanley J.},
abstractNote = {The predictive power of perturbative QCD (pQCD) depends on two important issues: (1) how to eliminate the renormalization scheme-and-scale ambiguities at fixed order, and (2) how to reliably estimate the contributions of unknown higher-order terms using information from the known pQCD series. The Principle of Maximum Conformality (PMC) satisfies all of the principles of the renormalization group and eliminates the scheme-and-scale ambiguities by the recursive use of the renormalization group equation to determine the scale of the QCD running coupling αs at each order. Moreover, the resulting PMC predictions are independent of the choice of the renormalization scheme, satisfying the key principle of renormalization group invariance. In this paper, we show that by using the conformal series derived using the PMC single-scale procedure, in combination with the Padé Approximation Approach (PAA), one can achieve quantitatively useful estimates for the unknown higher-order terms from the known perturbative series. We illustrate this procedure for three hadronic observables Re+e–, Rτ, and Γ(H → bb¯) which are each known to 4 loops in pQCD. We show that if the PMC prediction for the conformal series for an observable (of leading order αps) has been determined at order αns, then the [] = [0/n–p] Padé series provides quantitatively useful predictions for the higher-order terms. We also show that the PMC + PAA predictions agree at all orders with the fundamental, scheme-independent Generalized Crewther relations which connect observables, such as deep inelastic neutrino-nucleon scattering, to hadronic e+e– annihilation. Furthermore, by using the combination of the PMC series and the Padé method, the predictive power of pQCD theory can be greatly improved.},
doi = {10.1140/epjc/s10052-019-6704-9},
journal = {European Physical Journal. C, Particles and Fields},
number = 3,
volume = 79,
place = {United States},
year = {Thu Feb 28 00:00:00 EST 2019},
month = {Thu Feb 28 00:00:00 EST 2019}
}
Web of Science
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