Gluon distribution at small x obtained from a unified evolution equation
Abstract
We solve a unified integral equation to obtain the x, QT, and Q dependence of the gluon distribution of a proton in the small x regime, where x and QT are the longitudinal momentum fraction and the transverse momentum of the gluon probed at a scale Q. The equation generates a gluon with a steep x-λ behavior, with λ~0.5, and a QT distribution which broadens as x decreases. We compare our solutions with, on the one hand, those that we obtain using the double-leading-logarithm approximation to Altarelli-Parisi evolution and, on the other hand, to those that we determine from the BFKL equation.
- Publication:
-
Physical Review D
- Pub Date:
- August 1995
- DOI:
- 10.1103/PhysRevD.52.1445
- arXiv:
- arXiv:hep-ph/9503266
- Bibcode:
- 1995PhRvD..52.1445K
- Keywords:
-
- 13.60.Hb;
- 12.38.Bx;
- 12.38.Cy;
- Total and inclusive cross sections;
- Perturbative calculations;
- Summation of perturbation theory;
- High Energy Physics - Phenomenology
- E-Print:
- LaTeX file with 10 postscript figures (uuencoded)