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Deep-inelastic scattering beyond the leading order in asymptotically free gauge theories
Open accessAbstract
We calculate the full order-${g}^{2}$ corrections to the coefficient functions which determine the ${Q}^{2}$ dependence of the moments of deep-inelastic structure functions. The calculation is performed in the minimal-subtraction scheme of 't Hooft. The results are combined with the recent two-loop calculations of anomalous dimensions by Floratos, Ross, and Sachrajda to give the full ${\overline{g}}^{2}$ corrections to the leading order of asymptotic freedom. We present results for ${C}_{n}(1,{\overline{g}}^{2})$ relevant for electroproduction and neutrino reactions for both nonsinglet and singlet combinations of the structure functions. Phenomenological consequences of the full ${\overline{g}}^{2}$ corrections to the nonsinglet structure function are discussed. The corrections to the Gross-Llewellyn Smith and Bjorken sum rules are estimated to be of the order of 15%.
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Cites
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Cited by
QCD phenomenology based on a chiral effective Lagrangian
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Brivio, I., & Trott, M. (2019) · Physics Reports · doi:10.1016/j.physrep.2018.11.002 · Cited by 559
Precise determination of the spin structure functiong1of the proton, deuteron, and neutron
Airapetian, A., Akopov, N., Akopov, Z., Andrus, A., Aschenauer, E. C., Augustyniak, W., Avakian, R., Avetissian, A., Avetissian, E., Belostotski, S., et al. (2007) · Physical Review D · doi:10.1103/physrevd.75.012007 · Cited by 386
The relation between the and the on-shell quark mass at order αs3
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Metadata
- Authors
- Bardeen, W. A., Buras, A. J., Duke, D. W., & Muta, T.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1978-12-01
- Volume
- 18
- Issue
- 11
- Pages
- 3998-4017
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2119763776
- Cited by
- 1,048
- References
- 8
- FWCI
- 19.06
- Type
- journal article
- Language
- en
- Open access
- green
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- Bardeen, W. A., Buras, A. J., Duke, D. W., & Muta, T. (1978). Deep-inelastic scattering beyond the leading order in asymptotically free gauge theories. Physical Review D. https://doi.org/10.1103/physrevd.18.3998
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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