A Method of Analyzing the Scaling Violation of Inclusive Spectra in Hard Processes

Mar, 1981
25 pages
Published in:
  • Nucl.Phys.B 195 (1982) 237-261
  • Published: 1982
Report number:
  • CERN-TH-3047

Citations per year

1982199320042015202401234567
Abstract: (Elsevier)
The analytic solution of the evolution equations in QCD is given in the form of a series of Laguerre polynomials in the variable y = In ( 1 x ) . The Laguerre series converges very quickly and it can be truncated after few terms with a reasonable accuracy. Also high precision calculations are possible since the coefficients of the series are given by simple recurrence formulae. The method works both for non-singlet and for singlet spectra and it can be applied to any hard process. The inclusion of higher order effects is immediate. The Laguerre technique provides a natural framework for extracting from the data the input quark and gluon distributions without any prejudices concerning their particular analytic form.
  • LEPTON HADRON: DEEP INELASTIC SCATTERING
  • DEEP INELASTIC SCATTERING: LEPTON HADRON
  • LEPTON HADRON: INCLUSIVE REACTION
  • QUANTUM CHROMODYNAMICS: PERTURBATION THEORY
  • SPECTRUM: INCLUSIVE REACTION
  • INCLUSIVE REACTION: SPECTRUM
  • MODEL: HARD SCATTERING
  • HARD SCATTERING: MODEL
  • QUANTUM CHROMODYNAMICS: DGLAP equation
  • SCALING: VIOLATION