Regular Article - Theoretical Physics
Nonlinear GLR-MQ evolution equation and -evolution of gluon distribution function
HEP Laboratory, Department of Physics, Tezpur University, Napaam, 784 028 , Tezpur, Assam, India
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Accepted: 16 January 2014
Published online: 13 February 2014
In this paper we have solved the nonlinear Gribov–Levin–Ryskin–Mueller–Qiu (GLR-MQ) evolution equation for the gluon distribution function and studied the effects of the nonlinear GLR-MQ corrections to the Leading Order (LO) Dokshitzer–Gribov–Lipatov–Altarelli–Parisi (DGLAP) evolution equations. Here we have incorporated a Regge-like behavior of gluon distribution function to obtain the solution of the GLR-MQ evolution equation. We have also investigated the -dependence of the gluon distribution function from the solution of the GLR-MQ evolution equation. Moreover it is interesting to observe from our results that nonlinearities increase with decreasing correlation radius () between two interacting gluons. The results also confirm that the steep behavior of gluon distribution function is observed at , whereas it is lowered at with decreasing as increases. In this work we have also checked the sensitivity of in our calculations. Our computed results are compared with those obtained by the global DGLAP fits to the parton distribution functions viz. GRV, MRST, MSTW and with the EHKQS model.
© The Author(s), 2014