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A fifth order perturbative solution to the Gribov-Lipatov equation

Abstract

Fifth order, O ({beta}{sup 5}), exact corrections to the non-singlet electron structure function in QED are presented. Calculations were performed in the leading logarithmic approximation using the ad hoc exponentiation prescription proposed by Jadach and Ward and a recurrence formula for the elements of the Jadach-Ward series. A comparison with existing third order, O ({beta}{sup 3}), solutions is also presented. The three next elements of the Jadach-Ward series were calculated numerically and parametrized with an accuracy better than 5.10{sup -6} in the range of x between 0.01 and 1. (orig.).
Authors:
Przybycien, M [1] 
  1. Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Publication Date:
Dec 01, 1992
Product Type:
Technical Report
Report Number:
DESY-92-182; TPJU-21/92
Reference Number:
SCA: 662330; PA: DEN-93:005308; SN: 93000982780
Resource Relation:
Other Information: PBD: Dec 1992
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM ELECTRODYNAMICS; DEEP INELASTIC SCATTERING; INTEGRAL EQUATIONS; ELECTRON-NUCLEON INTERACTIONS; CORRECTIONS; PERTURBATION THEORY; GRIBOV-LIPATOV RELATION; STRUCTURE FUNCTIONS; RECURSION RELATIONS; ANALYTICAL SOLUTION; BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; POWER SERIES; ACCURACY; 662330; PHOTON AND CHARGED-LEPTON INTERACTIONS WITH HADRONS
OSTI ID:
10148189
Research Organizations:
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Other: ON: DE93785830; CNN: Grant KBN 20-38-09101; TRN: DE9305308
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
DEN
Size:
12 p.
Announcement Date:
Jul 05, 2005

Citation Formats

Przybycien, M. A fifth order perturbative solution to the Gribov-Lipatov equation. Germany: N. p., 1992. Web.
Przybycien, M. A fifth order perturbative solution to the Gribov-Lipatov equation. Germany.
Przybycien, M. 1992. "A fifth order perturbative solution to the Gribov-Lipatov equation." Germany.
@misc{etde_10148189,
title = {A fifth order perturbative solution to the Gribov-Lipatov equation}
author = {Przybycien, M}
abstractNote = {Fifth order, O ({beta}{sup 5}), exact corrections to the non-singlet electron structure function in QED are presented. Calculations were performed in the leading logarithmic approximation using the ad hoc exponentiation prescription proposed by Jadach and Ward and a recurrence formula for the elements of the Jadach-Ward series. A comparison with existing third order, O ({beta}{sup 3}), solutions is also presented. The three next elements of the Jadach-Ward series were calculated numerically and parametrized with an accuracy better than 5.10{sup -6} in the range of x between 0.01 and 1. (orig.).}
place = {Germany}
year = {1992}
month = {Dec}
}