https://doi.org/10.1140/epjc/s10052-013-2412-z
Regular Article - Theoretical Physics
Decoupling of the DGLAP evolution equations at next-to-next-to-leading order (NNLO) at low-x
Physics Department, Razi University, Kermanshah, 67149, Iran
* e-mail: boroun@razi.ac.ir
** e-mail: grboroun@gmail.com
Received:
15
December
2012
Revised:
3
April
2013
Published online:
4
May
2013
We present a set of formulas to extract two second-order independent differential equations for the gluon and singlet distribution functions. Our results extend from the LO up to NNLO DGLAP evolution equations with respect to the hard-Pomeron behavior at low-x. In this approach, both singlet quarks and gluons have the same high-energy behavior at low-x. We solve the independent DGLAP evolution equations for the functions 
and G(x,Q
2) as a function of their initial parameterization at the starting scale 
. The results not only give striking support to the hard-Pomeron description of the low-x behavior, but give a rather clean test of perturbative QCD showing an increase of the gluon distribution and singlet structure functions as x decreases. We compared our numerical results with the published BDM (Block et al. Phys. Rev. D 77:094003 (2008)) gluon and singlet distributions, starting from their initial values at 
.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2013
