Nonlinear effects in gluon distribution predicted by GLR-MQ evolution equation at next-to-leading order in LHC data

Abstract

In this work we have solved the nonlinear GLR-MQ evolution equation upto next-to-leading order (NLO) by considering NLO terms of the gluon-gluon splitting functions and running coupling constant ${\alpha }_s(Q^2)$. Here, we have incorporated a Regge-like behaviour of gluon distribution in order to obtain a solution of the GLR-MQ equation in the range of $5Ge{V}^2\le Q^2\le 25Ge{V}^2$. We have studied the $Q^2$ evolution of the gluon distribution function $G(x,Q^2)$ and its nonlinear effects at small-x. It can be observed from our analysis that the nonlinearities increase with decrease in the correlation radius R of two interacting gluons, as expected. We have compared our result of $G(x,Q^2)$ as $Q^2$ increases and x decreases, for two different values of R, viz. R= 2 $Ge{V}^{-1}$ and 5 $Ge{V}^{-1}$. We have also checked the sensitivity of the Regge intercept ${\lambda }_G$ on our results. We compare our computed results with those obtained by the global analysis to parton distribution functions (PDFs) by various collaborations where LHC data have been included viz. PDF4LHC15, NNPDF3.0, ABM12 and CT14. Besides we have also shown comparison of our results with HERA PDF data viz. HERAPDF15.

15 pages, 7 figures, new references added

References in corpus (4)

• Parton distributions in the LHC era: MMHT 2014 PDFs
• High Gluon Densities in Heavy Ions Collisions
• Method of characteristics and solution of DGLAP evolution equation in leading order (LO) and next to leading order (NLO) at small-x
• Small-x behavior of non-singlet spin structure function and Bjorken sum rule with pQCD correction up to NNLO and Higher twist correction

Cited by in corpus (7)

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• On phenomenological study of the solution of nonlinear GLR-MQ evolution equation beyond leading order
• The study of the gluon distribution function and reduced cross section behavior using the proton structure function
• An analytical solution of Balitsky-Kovchegov equation using homotopy perturbation method