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Fixing the renormalization scheme in NNLO perturbative QCD using conformal limit arguments

Rathsman, J. LU (1996) In Physical Review D - Particles, Fields, Gravitation and Cosmology 54(5). p.3420-3426
Abstract

We discuss how the renormalization scheme ambiguities in QCD can be fixed, when two observables are related, by requiring the coefficients in the perturbative expansion relating the two observables to have their conformal limit values, i.e., to be independent of the [Formula presented] function of the renormalized coupling. We show how the next-to-leading order BLM automatic scale-fixing method can be extended to next-to-next-to-leading order to fix both the renormalization scale and [Formula presented] in a unique way. As an example we apply the method to the relation between Bjorken's sum rule and [Formula presented] and compare with experimental data as well as other scheme-fixing methods.

Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review D - Particles, Fields, Gravitation and Cosmology
volume
54
issue
5
pages
7 pages
publisher
American Physical Society
external identifiers
  • scopus:0001010757
ISSN
1550-7998
DOI
10.1103/PhysRevD.54.3420
language
English
LU publication?
no
id
671f077c-22f7-4822-8695-2ec3f25ed17a
date added to LUP
2019-05-14 13:56:44
date last changed
2025-04-04 14:28:05
@article{671f077c-22f7-4822-8695-2ec3f25ed17a,
  abstract     = {{<p>We discuss how the renormalization scheme ambiguities in QCD can be fixed, when two observables are related, by requiring the coefficients in the perturbative expansion relating the two observables to have their conformal limit values, i.e., to be independent of the [Formula presented] function of the renormalized coupling. We show how the next-to-leading order BLM automatic scale-fixing method can be extended to next-to-next-to-leading order to fix both the renormalization scale and [Formula presented] in a unique way. As an example we apply the method to the relation between Bjorken's sum rule and [Formula presented] and compare with experimental data as well as other scheme-fixing methods.</p>}},
  author       = {{Rathsman, J.}},
  issn         = {{1550-7998}},
  language     = {{eng}},
  month        = {{09}},
  number       = {{5}},
  pages        = {{3420--3426}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review D - Particles, Fields, Gravitation and Cosmology}},
  title        = {{Fixing the renormalization scheme in NNLO perturbative QCD using conformal limit arguments}},
  url          = {{http://dx.doi.org/10.1103/PhysRevD.54.3420}},
  doi          = {{10.1103/PhysRevD.54.3420}},
  volume       = {{54}},
  year         = {{1996}},
}