Fixing the renormalization scheme in NNLO perturbative QCD using conformal limit arguments
(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:
https://lup.lub.lu.se/record/671f077c-22f7-4822-8695-2ec3f25ed17a
- author
- Rathsman, J. LU
- publishing date
- 1996-09-01
- 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
- 2022-01-31 19:55:35
@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}}, }