THE GLUON DISTRIBUTION AT SMALL x OBTAINED FROM A UNIFIED EVOLUTION EQUATION.
Kwiecinski, J. · Martin, A. D. · Sutton, P. J.
Original · EN
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 behaviour, 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.
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