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Integral equation for spin dependent unintegrated parton distributions incorporating double In-2(1/x) effects at low x

Kwiecinski, J and Maul, Martin LU (2003) In Physical Review D (Particles and Fields) 67(3: 034014).
Abstract
In this paper we derive an integral equation for the evolution of unintegrated (longitudinally) polarized quark and gluon parton distributions. The conventional Catani-Ciafaloni-Fiorani-Marchesini (CCFM) framework is modified at small x in order to incorporate the QCD expectations concerning the double ln(2)(1/x) resummation at low x for the integrated distributions. Complete Altarelli-Parisi splitting functions are included that makes the formalism compatible with the leading order Altarelli-Parisi evolution at large and moderately small values of x. The obtained modified polarized CCFM equation is shown to be partially diagonalized by the Fourier-Bessel transformation. Results of the numerical solution for this modifed polarized CCFM... (More)
In this paper we derive an integral equation for the evolution of unintegrated (longitudinally) polarized quark and gluon parton distributions. The conventional Catani-Ciafaloni-Fiorani-Marchesini (CCFM) framework is modified at small x in order to incorporate the QCD expectations concerning the double ln(2)(1/x) resummation at low x for the integrated distributions. Complete Altarelli-Parisi splitting functions are included that makes the formalism compatible with the leading order Altarelli-Parisi evolution at large and moderately small values of x. The obtained modified polarized CCFM equation is shown to be partially diagonalized by the Fourier-Bessel transformation. Results of the numerical solution for this modifed polarized CCFM equation for the nonsinglet quark distributions are presented. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review D (Particles and Fields)
volume
67
issue
3: 034014
publisher
American Physical Society
external identifiers
  • wos:000181431400028
  • scopus:33847351174
ISSN
0556-2821
DOI
10.1103/PhysRevD.67.034014
language
English
LU publication?
yes
id
a478a073-29e9-4ff8-8855-dbdd072f1949 (old id 316822)
date added to LUP
2007-09-16 11:01:18
date last changed
2018-07-01 04:13:18
@article{a478a073-29e9-4ff8-8855-dbdd072f1949,
  abstract     = {In this paper we derive an integral equation for the evolution of unintegrated (longitudinally) polarized quark and gluon parton distributions. The conventional Catani-Ciafaloni-Fiorani-Marchesini (CCFM) framework is modified at small x in order to incorporate the QCD expectations concerning the double ln(2)(1/x) resummation at low x for the integrated distributions. Complete Altarelli-Parisi splitting functions are included that makes the formalism compatible with the leading order Altarelli-Parisi evolution at large and moderately small values of x. The obtained modified polarized CCFM equation is shown to be partially diagonalized by the Fourier-Bessel transformation. Results of the numerical solution for this modifed polarized CCFM equation for the nonsinglet quark distributions are presented.},
  author       = {Kwiecinski, J and Maul, Martin},
  issn         = {0556-2821},
  language     = {eng},
  number       = {3: 034014},
  publisher    = {American Physical Society},
  series       = {Physical Review D (Particles and Fields)},
  title        = {Integral equation for spin dependent unintegrated parton distributions incorporating double In-2(1/x) effects at low x},
  url          = {http://dx.doi.org/10.1103/PhysRevD.67.034014},
  volume       = {67},
  year         = {2003},
}