Integral equation for spin dependent unintegrated parton distributions incorporating double In-2(1/x) effects at low x
(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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/316822
- author
- Kwiecinski, J and Maul, Martin LU
- organization
- publishing date
- 2003
- 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
- 2016-04-01 16:13:27
- date last changed
- 2024-02-09 19:40:23
@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}}, doi = {{10.1103/PhysRevD.67.034014}}, volume = {{67}}, year = {{2003}}, }