Deep-inelastic scattering beyond the leading order in asymptotically free gauge theories

Journal Article · Fri Dec 01 04:00:00 EST 1978 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.18.3998· OSTI ID:6506802

Bardeen, W A; Buras, A J; Duke, D W; Muta, T

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 Laboratory, Batavia, Illinois 60510
• OSTI ID: 6506802
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 18:11; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645202* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
645203 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Weak Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
COUPLING CONSTANTS
DEEP INELASTIC SCATTERING
ELECTROMAGNETIC INTERACTIONS
ELECTRON-NUCLEON INTERACTIONS
ELECTROPRODUCTION
EQUATIONS
FUNCTIONS
GAUGE INVARIANCE
INELASTIC SCATTERING
INTERACTIONS
INVARIANCE PRINCIPLES
LEPTON-BARYON INTERACTIONS
LEPTON-HADRON INTERACTIONS
LEPTON-NUCLEON INTERACTIONS
NEUTRINO-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PARTICLE PRODUCTION
RENORMALIZATION
SCATTERING
STRUCTURE FUNCTIONS
SUM RULES