Solution of nonlinear Gribov-Levin-Ryskin-Mueller-Qiu evolution equation for gluon distribution function

National Conference on Contemporary Issues in High Energy Physics and Cosmology

Devee, Mayuri^1 ; Sarma, J.K.^1

HEP Laboratory, Department of Physics, Tezpur University, Tezpur, Assam, 784 028, India^1

关键词: Evolution equations;    Gluon density;    Mueller;    Nonlinear correction;    Strong growth;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/481/1/012026/pdf
DOI  :  10.1088/1742-6596/481/1/012026

来源: IOP

【 摘 要 】

In this paper we have determined the behavior of gluon distribution function by solving the Gribov-Levin-Reskin-Mueller-Qiu (GLR-MQ) evolution equation,which is nonlinear in gluon density. The moderate Q2behavior of G(x, t), where t ln(Q2/Λ2), is obtained by employing the Regge like behaviour of gluon distribution function at small-x. Here Q2behavior of nonlinear gluon distribution function is investigated for small values x 10-2, 10-3, 10-4and 10-5rexpectively. Our predictions are compared with different parametrisations and are found in good agreement. It is observed from our results that with the nonlinear corrections incorporated, the strong growth of G(x,t) that corresponds to the linear QCD evolution equation is slowed down. Moreover essential taming of gluon distribution function is observed for R 2 GeV-1as expected.