Nonperturbative method for radiative corrections applied to lepton-proton scattering

Journal Article · Mon Sep 01 04:00:00 EDT 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.22.1062· OSTI ID:5125087

Chahine, C

We present a new, nonperturbative method to effect radiative corrections in lepton- (electron or muon) nucleon scattering, useful for existing or planned experiments. This method relies on a spectral function derived in a previous paper, which takes into account both real soft photons and virtual ones and hence is free from infrared divergence. Hard effects are computed perturbatively and then included in the form of ''hard factors'' in the nonperturbative soft formulas. Practical computations are effected using the Gauss-Jacobi integration method which reduces the relevant integrals to a rapidly converging sequence. For the simple problem of the radiative quasielastic peak, we get an exponentiated form conjectured by Schwinger and found by Yennie, Frautschi, and Suura. We compare also our results with the peaking approximation, and with the exact one-photon-emission formula of Mo and Tsai. Applications of our method to the continuous spectrum include the radiative tail of the ..delta../sub 33/ resonance in e+p scattering and radiative corrections to the Feynman scale-invariant F/sub 2/ structure function for the kinematics of two recent high-energy muon experiments.

• Research Organization: Laboratoire de Physique Corpusculaire, College de France, Paris, France
• OSTI ID: 5125087
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 22:5; 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
CORRECTIONS
CROSS SECTIONS
DIRECT REACTIONS
ELASTIC SCATTERING
ELECTRODYNAMICS
ELEMENTARY PARTICLES
FIELD THEORIES
FUNCTIONS
INTERACTIONS
LEPTON-BARYON INTERACTIONS
LEPTON-HADRON INTERACTIONS
LEPTON-NUCLEON INTERACTIONS
LEPTON-PROTON INTERACTIONS
MASSLESS PARTICLES
NUCLEAR REACTIONS
PARTICLE INTERACTIONS
PERTURBATION THEORY
PHOTONS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUASI-ELASTIC SCATTERING
QUASI-FREE REACTIONS
RADIATIVE CORRECTIONS
SCATTERING
SPECTRAL FUNCTIONS
STRUCTURE FUNCTIONS