Deep-inelastic scattering beyond the leading order in asymptotically free gauge theories
We calculate the full order-g/sup 2/ corrections to the coefficient functions which determine the Q/sup 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 g-bar/sup 2/ corrections to the leading order of asymptotic freedom. We present results for C/sub n/(1,g-bar/sup 2/) relevant for electroproduction and neutrino reactions for both nonsinglet and singlet combinations of the structure functions. Phenomenological consequences of the full g-bar/sup 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%.
- Research Organization:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
- OSTI ID:
- 6506802
- Journal Information:
- Phys. Rev., D; (United States), Vol. 18:11
- Country of Publication:
- United States
- Language:
- English
Similar Records
Higher-order effects of asymptotically free field theories. [Structure functios, parton model, sum rules, effective coupling constant]
Direct analysis of scaling violations in large-Q/sup 2/ deep-inelastic neutrino and muon scattering
Related Subjects
ELECTRON-NUCLEON INTERACTIONS
ELECTROPRODUCTION
NEUTRINO-NUCLEON INTERACTIONS
DEEP INELASTIC SCATTERING
COUPLING CONSTANTS
GAUGE INVARIANCE
RENORMALIZATION
STRUCTURE FUNCTIONS
SUM RULES
BASIC INTERACTIONS
ELECTROMAGNETIC INTERACTIONS
EQUATIONS
FUNCTIONS
INELASTIC SCATTERING
INTERACTIONS
INVARIANCE PRINCIPLES
LEPTON-BARYON INTERACTIONS
LEPTON-HADRON INTERACTIONS
LEPTON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PARTICLE PRODUCTION
SCATTERING
645202* - High Energy Physics- Particle Interactions & Properties-Theoretical- Electromagnetic Interactions & Properties
645203 - High Energy Physics- Particle Interactions & Properties-Theoretical- Weak Interactions & Properties