An approximate approach to the nonlinear DGLAP evaluation equation

作者：Boroun G R^*; Zarrin S

来源：European Physical Journal Plus, 2013, 128(10): 119.

DOI：10.1140/epjp/i2013-13119-8

We determined the effects of the first nonlinear corrections to the gluon distribution using the solution of the QCD nonlinear Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (NLDGLAP) evolution equation at small x. By using a Laplace-transform technique, the behavior of the gluon distribution is obtained by solving the Gribov, Levin, Ryskin, Mueller and Qiu (GLR-MQ) evolution equation with the nonlinear shadowing term incorporated. We show that the strong rise that is corresponding to the linear QCD evolution equations at small x can be tamed by screening effects. Consequently, the nonlinear effects for the gluon distributions are calculated and compared with the results for the integrated gluon density from the Balitsky-Kovchegov (BK) equation. The resulting analytic expression allows us to predict the shadowing correction to the logarithmic derivative F (2)(x, Q (2)) with respect to ln Q (2) and to compare the results with H1 data and a QCD analysis fit.

• 出版日期2013-10-21