Infinite-order scale-setting using the principle of maximum conformality: A remarkably efficient method for eliminating renormalization scale ambiguities for perturbative QCD

Di Giustino, Leonardo; Brodsky, Stanley J.; Wang, Sheng-Quan; Wu, Xing-Gang

doi:10.1103/PhysRevD.102.014015

Title: Infinite-order scale-setting using the principle of maximum conformality: A remarkably efficient method for eliminating renormalization scale ambiguities for perturbative QCD

Journal Article · Fri Jul 10 00:00:00 EDT 2020 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.102.014015· OSTI ID:1638119

;

; Wang, Sheng-Quan; Wu, Xing-Gang

We identify a property of renormalizable SU(N)/U(1) gauge theories, intrinsic conformality (iCF), which underlies the scale invariance of physical observables and leads to a remarkably efficient method to solve the conventional renormalization scale ambiguity at every order in perturbative QCD (pQCD): the PMC_∞ . This new method reflects the underlying conformal properties displayed by pQCD at next-to-next-to-leading order, eliminates the scheme dependence of pQCD predictions, and is consistent with the general properties of the principle of maximum conformality (PMC). We introduce a new method to identify conformal and β -terms which can be applied from either a numerical or an analytical calculations. We illustrate the PMC ∞ for the thrust and C-parameter distributions in e⁺ e^- annihilation and then show how to apply this new method to general observables in QCD. We point out how the implementation of the PMC_∞ can significantly improve the precision of pQCD predictions; its implementation in a multiloop analysis also simplifies the calculation of higher order corrections in a general renormalizable gauge theory.

View Journal Article

Cite

Export

Save

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

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1638119

Alternate ID(s):: OSTI ID: 1646802

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Vol. 102 Journal Issue: 1; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 10 works

Citation information provided by
Web of Science

References (39)

Studies of hadronic event structure in e+e- annihilation from 30 to 209GeV with the L3 detector Achard, P.; Adriani, O.; Aguilar-Benitez, M. Physics Reports, Vol. 399, Issue 2-3 https://doi.org/10.1016/j.physrep.2004.07.002	journal	September 2004
Thrust distribution in e+e− annihilation Catani, S.; Turnock, G.; Webber, B. R. Physics Letters B, Vol. 263, Issue 3-4 https://doi.org/10.1016/0370-2693(91)90494-B	journal	July 1991
Resummed mass distribution for jets initiated by massive quarks Aglietti, U.; Di Giustino, L.; Ferrera, G. Physics Letters B, Vol. 651, Issue 4 https://doi.org/10.1016/j.physletb.2007.06.034	journal	August 2007
Renormalons Beneke, M. Physics Reports, Vol. 317, Issue 1-2 https://doi.org/10.1016/S0370-1573(98)00130-6	journal	August 1999
The resummation of soft gluons in hadronic collisions Catani, S. Nuclear Physics B, Vol. 478, Issue 1-2 https://doi.org/10.1016/0550-3213(96)00399-9	journal	October 1996
Renormalization group improved perturbative QCD Grunberg, G. Physics Letters B, Vol. 95, Issue 1 https://doi.org/10.1016/0370-2693(80)90402-5	journal	September 1980
BLM scale fixing in event-shape distributions Gehrmann, Thomas; Häfliger, Niklaus; Monni, Pier Francesco The European Physical Journal C, Vol. 74, Issue 6 https://doi.org/10.1140/epjc/s10052-014-2896-1	journal	June 2014
A study of the energy evolution of event shape distributions and their means with the DELPHI detector at LEP The European Physical Journal C, Vol. 29, Issue 3, p. 285-312 https://doi.org/10.1140/epjc/s2003-01198-0	journal	July 2003
Three-Jet Production in Electron-Positron Collisions at Next-to-Next-to-Leading Order Accuracy Del Duca, Vittorio; Duhr, Claude; Kardos, Adam Physical Review Letters, Vol. 117, Issue 15 https://doi.org/10.1103/PhysRevLett.117.152004	journal	October 2016
Second-Order QCD Corrections to the Thrust Distribution in Electron-Positron Annihilation Gehrmann-De Ridder, A.; Gehrmann, T.; Glover, E. W. N. Physical Review Letters, Vol. 99, Issue 13 https://doi.org/10.1103/PhysRevLett.99.132002	journal	September 2007
Scale setting using the extended renormalization group and the principle of maximum conformality: The QCD coupling constant at four loops Brodsky, Stanley J.; Wu, Xing-Gang Physical Review D, Vol. 85, Issue 3 https://doi.org/10.1103/PhysRevD.85.034038	journal	February 2012
The renormalization scale-setting problem in QCD Wu, Xing-Gang; Brodsky, Stanley J.; Mojaza, Matin Progress in Particle and Nuclear Physics, Vol. 72 https://doi.org/10.1016/j.ppnp.2013.06.001	journal	September 2013
Jet production in the CoLoRFulNNLO method: Event shapes in electron-positron collisions Del Duca, Vittorio; Duhr, Claude; Kardos, Adam Physical Review D, Vol. 94, Issue 7 https://doi.org/10.1103/PhysRevD.94.074019	journal	October 2016
Novel method for the precise determination of the QCD running coupling from event shape distributions in electron-positron annihilation Wang, Sheng-Quan; Brodsky, Stanley J.; Wu, Xing-Gang Physical Review D, Vol. 100, Issue 9 https://doi.org/10.1103/PhysRevD.100.094010	journal	November 2019
Form factors of the gauge-invariant three-gluon vertex Binger, Michael; Brodsky, Stanley J. Physical Review D, Vol. 74, Issue 5 https://doi.org/10.1103/PhysRevD.74.054016	journal	September 2006
Systematic All-Orders Method to Eliminate Renormalization-Scale and Scheme Ambiguities in Perturbative QCD Mojaza, Matin; Brodsky, Stanley J.; Wu, Xing-Gang Physical Review Letters, Vol. 110, Issue 19 https://doi.org/10.1103/PhysRevLett.110.192001	journal	May 2013
Systematic scale-setting to all orders: The principle of maximum conformality and commensurate scale relations Brodsky, Stanley J.; Mojaza, Matin; Wu, Xing-Gang Physical Review D, Vol. 89, Issue 1 https://doi.org/10.1103/PhysRevD.89.014027	journal	January 2014
Thrust distribution in electron-positron annihilation using the principle of maximum conformality Wang, Sheng-Quan; Brodsky, Stanley J.; Wu, Xing-Gang Physical Review D, Vol. 99, Issue 11 https://doi.org/10.1103/PhysRevD.99.114020	journal	June 2019
The QCD renormalization group equation and the elimination of fixed-order scheme-and-scale ambiguities using the principle of maximum conformality Wu, Xing-Gang; Shen, Jian-Ming; Du, Bo-Lun Progress in Particle and Nuclear Physics, Vol. 108 https://doi.org/10.1016/j.ppnp.2019.05.003	journal	September 2019
Padé approximants, optimal renormalization scales, and momentum flow in Feynman diagrams Brodsky, Stanley J.; Ellis, John; Gardi, Einan Physical Review D, Vol. 56, Issue 11 https://doi.org/10.1103/PhysRevD.56.6980	journal	December 1997
Thrust at $N^{3} LL$ with power corrections and a precision global fit for $α_{s} (m_{Z})$ Abbate, Riccardo; Fickinger, Michael; Hoang, André H. Physical Review D, Vol. 83, Issue 7 https://doi.org/10.1103/PhysRevD.83.074021	journal	April 2011
Optimized perturbation theory Stevenson, P. M. Physical Review D, Vol. 23, Issue 12 https://doi.org/10.1103/PhysRevD.23.2916	journal	June 1981
Setting the renormalization scale in QCD: The principle of maximum conformality Brodsky, Stanley J.; Di Giustino, Leonardo Physical Review D, Vol. 86, Issue 8 https://doi.org/10.1103/PhysRevD.86.085026	journal	October 2012
Quantum Electrodynamics at Small Distances Gell-Mann, M.; Low, F. E. Physical Review, Vol. 95, Issue 5 https://doi.org/10.1103/PhysRev.95.1300	journal	September 1954
RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses Chetyrkin, K. G.; Kühn, J. H.; Steinhauser, M. Computer Physics Communications, Vol. 133, Issue 1 https://doi.org/10.1016/S0010-4655(00)00155-7	journal	December 2000
NNLO corrections to event shapes in e ⁺ e ⁻ annihilation Ridder, A. Gehrmann-De; Gehrmann, T.; Glover, E. W. N. Journal of High Energy Physics, Vol. 2007, Issue 12 https://doi.org/10.1088/1126-6708/2007/12/094	journal	December 2007
Event shapes and jet rates in electron-positron annihilation at NNLO Weinzierl, Stefan Journal of High Energy Physics, Vol. 2009, Issue 06 https://doi.org/10.1088/1126-6708/2009/06/041	journal	June 2009
Resummation of large logarithms in e+e− event shape distributions Catani, S.; Trentadue, L.; Turnock, G. Nuclear Physics B, Vol. 407, Issue 1 https://doi.org/10.1016/0550-3213(93)90271-P	journal	October 1993
Light-front hadron dynamics and AdS/CFT correspondence Brodsky, Stanley J.; de Téramond, Guy F. Physics Letters B, Vol. 582, Issue 3-4 https://doi.org/10.1016/j.physletb.2003.12.050	journal	March 2004
Renormalization group invariance and optimal QCD renormalization scale-setting: a key issues review Wu, Xing-Gang; Ma, Yang; Wang, Sheng-Quan Reports on Progress in Physics, Vol. 78, Issue 12 https://doi.org/10.1088/0034-4885/78/12/126201	journal	October 2015
On the elimination of scale ambiguities in perturbative quantum chromodynamics Brodsky, Stanley J.; Lepage, G. Peter; Mackenzie, Paul B. Physical Review D, Vol. 28, Issue 1 https://doi.org/10.1103/PhysRevD.28.228	journal	July 1983
Eliminating the Renormalization Scale Ambiguity for Top-Pair Production Using the Principle of Maximum Conformality Brodsky, Stanley J.; Wu, Xing-Gang Physical Review Letters, Vol. 109, Issue 4 https://doi.org/10.1103/PhysRevLett.109.042002	journal	July 2012
Next-to-Next-to-Leading Order Corrections to Three-Jet Observables in Electron-Positron Annihilation Weinzierl, Stefan Physical Review Letters, Vol. 101, Issue 16 https://doi.org/10.1103/PhysRevLett.101.162001	journal	October 2008
Ambiguities of the principle of maximum conformality procedure for hadron collider processes Chawdhry, Herschel A.; Mitov, Alexander Physical Review D, Vol. 100, Issue 7 https://doi.org/10.1103/PhysRevD.100.074013	journal	October 2019
Jet production rates at LEP and the scale of ?s Kramer, G.; Lampe, B. Zeitschrift f�r Physik A Hadrons and Nuclei, Vol. 339, Issue 1 https://doi.org/10.1007/BF01282948	journal	March 1991
Measurement of $α_{s}$ ( $M_{Z}^{2}$ ) from hadronic event observables at the $Z^{0}$ resonance Abe, K.; Abt, I.; Ahn, C. J. Physical Review D, Vol. 51, Issue 3 https://doi.org/10.1103/PhysRevD.51.962	journal	February 1995
A general method for the resummation of event-shape distributions in e + e − annihilation Banfi, Andrea; McAslan, Heather; Monni, Pier Francesco Journal of High Energy Physics, Vol. 2015, Issue 5 https://doi.org/10.1007/JHEP05(2015)102	journal	May 2015
Aspects of SU(Nc) gauge theories in the limit of small number of colors Brodsky, Stanley J.; Huet, Patrick Physics Letters B, Vol. 417, Issue 1-2 https://doi.org/10.1016/S0370-2693(97)01209-4	journal	January 1998
Studies of QCD at ${\rm e}^ + {\rm e}^-$ centre-of-mass energies between 91 and 209 GeV The European Physical Journal C, Vol. 35, Issue 4, p. 457-486 https://doi.org/10.1140/epjc/s2004-01891-4	journal	July 2004

Similar Records

Degeneracy relations in QCD and the equivalence of two systematic all-orders methods for setting the renormalization scale

Journal Article · Tue Sep 01 00:00:00 EDT 2015 · Physics Letters B · OSTI ID:1638119

Bi, Huan-Yu; Wu, Xing-Gang; Ma, Yang; +3 more

Elimination of QCD Renormalization Scale and Scheme Ambiguities

Journal Article · Mon Apr 17 00:00:00 EDT 2023 · Universe · OSTI ID:1638119

Wang, Sheng-Quan; Brodsky, Stanley J.; Wu, Xing-Gang; +2 more

Eliminating the Renormalization Scale Ambiguity for Top-Pair Production Using the Principle of Maximum Conformality

Journal Article · Mon Apr 02 00:00:00 EDT 2012 · Submitted to Physical Review Letters · OSTI ID:1638119

Brodsky, Stanley J; Wu, Xing-Gang

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Title: Infinite-order scale-setting using the principle of maximum conformality: A remarkably efficient method for eliminating renormalization scale ambiguities for perturbative QCD

Citation Formats

References (39)

Similar Records

Related Subjects