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 · · Physical Review D
; ; ;

Not Available

Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Organization:
National Natural Science Foundation of China (NNSFC); USDOE
Grant/Contract Number:
AC02-76SF00515
OSTI ID:
1439382
Report Number(s):
SLAC-PUB-17232; 094030
Journal Information:
Physical Review D, Journal Name: Physical Review D Journal Issue: 9 Vol. 97; ISSN PRVDAQ; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (45)

Small distance behaviour in field theory and power counting journal September 1970
On the LambertW function journal December 1996
Vector correlator in massless QCD at order $ \mathcal{O}\left( {\alpha_s^4} \right) $ and the QED β-function at five loop journal July 2012
Scalar correlator, Higgs decay into quarks, and scheme variations of the QCD coupling journal October 2016
Renormalization group and the deep structure of the proton journal June 1979
The gell-mann-low function of QCD in the three-loop approximation journal June 1980
Resolution of the renormalisation-scheme ambiguity in perturbative QCD journal March 1981
The three-loop QCD β-function and anomalous dimensions journal April 1993
Optimization and the ultimate convergence of QCD perturbation theory journal January 1984
QCD corrections to the e+e− cross-section and the Z boson decay rate: concepts and results journal December 1996
Renormalons journal August 1999
Conformal expansions and renormalons journal September 2001
The four-loop β-function in quantum chromodynamics journal May 1997
Aspects of SU(Nc) gauge theories in the limit of small number of colors journal January 1998
Four-loop renormalization of QCD: full set of renormalization constants and anomalous dimensions journal March 2005
The four-loop QCD β-function and anomalous dimensions journal March 2005
Degeneracy relations in QCD and the equivalence of two systematic all-orders methods for setting the renormalization scale journal September 2015
The generalized scheme-independent Crewther relation in QCD journal July 2017
The renormalization scale-setting problem in QCD journal September 2013
Renormalization group invariance and optimal QCD renormalization scale-setting: a key issues review journal October 2015
α s and the τ hadronic width: fixed-order, contour- improved and higher-order perturbation theory journal September 2008
Review of Particle Physics journal October 2016
Quantum Electrodynamics at Small Distances journal September 1954
Some simple vacuum-polarization phenomenology: e + e − → hadrons ; the muonic-atom x-ray discrepancy and g μ − 2 journal December 1974
Broken Scale Invariance in Scalar Field Theory journal October 1970
Optimized perturbation theory journal June 1981
On the elimination of scale ambiguities in perturbative quantum chromodynamics journal July 1983
Commensurate scale relations in quantum chromodynamics journal April 1995
Scale setting using the extended renormalization group and the principle of maximum conformality: The QCD coupling constant at four loops journal February 2012
Application of the principle of maximum conformality to top-pair production journal July 2012
Self-consistency requirements of the renormalization group for setting the renormalization scale journal September 2012
Setting the renormalization scale in QCD: The principle of maximum conformality journal October 2012
Systematic scale-setting to all orders: The principle of maximum conformality and commensurate scale relations journal January 2014
General properties on applying the principle of minimum sensitivity to high-order perturbative QCD predictions journal February 2015
Novel all-orders single-scale approach to QCD renormalization scale-setting journal May 2017
Order α s 4 QCD Corrections to Z and τ Decays journal July 2008
Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order α s 4 in a General Gauge Theory journal March 2010
Eliminating the Renormalization Scale Ambiguity for Top-Pair Production Using the Principle of Maximum Conformality journal July 2012
Systematic All-Orders Method to Eliminate Renormalization-Scale and Scheme Ambiguities in Perturbative QCD journal May 2013
Scheme Variations of the QCD Coupling and Hadronic τ Decays journal October 2016
Five-Loop Running of the QCD Coupling Constant journal February 2017
Ultraviolet Behavior of Non-Abelian Gauge Theories journal June 1973
Reliable Perturbative Results for Strong Interactions? journal June 1973
Asymptotic Behavior of Non-Abelian Gauge Theories to Two-Loop Order journal July 1974
La normalisation des constantes dans la théorie des quanta text January 1953

Similar Records

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS