Fit to the Bjorken, Ellis-Jaffe and Gross-Llewellyn-Smith sum rules in a renormalon based approach
Journal Article
·
· Physical Review. D, Particles Fields
- Department of Physics, University of Toronto, St. George Street, Toronto, M5S 1A7 (Canada)
- Dept. d'Estructura i Constituents de la Materia, U. Barcelona, Diagonal 647, E-08028 Barcelona, Catalonia (Spain)
We study the large order behavior in perturbation theory of the Bjorken, Ellis-Jaffe and Gross-Llewellyn-Smith sum rules. In particular, we consider their first infrared renormalons, for which we obtain their analytic structure with logarithmic accuracy and also an approximate determination of their normalization constant. Estimates of higher order terms of the perturbative series are given. The renormalon subtracted scheme is worked out for these observables and compared with experimental data. Overall, good agreement with experiment is found. This allows us to obtain a-circumflex{sub 0} and some higher-twist nonperturbative constants from experiment: a-circumflex 0.141{+-}0.089; f{sub 3,RS}(1 GeV)=-0.124{sub -0.142}{sup +0.137} GeV{sup 2}.
- OSTI ID:
- 20711502
- Journal Information:
- Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 5 Vol. 72; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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