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arXiv · 1705.06092

NNLO solution of nonlinear GLR-MQ evolution equation to determine gluon distribution function using Regge like ansatz

P. Phukan·M. Lalung·J. K. Sarma
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Abstract

In this work we have suggested a solution of the Gribov-Levin-Ryskin-Mueller-Qiu (GLR-MQ) nonlinear evolution equation at next-to-next-to-leading order (NNLO). The range of $Q^2$ in which we have solved the GLR-MQ equation is Regge region of the range $5 GeV^2 \leq Q^2 \leq 25 GeV^2$ and so we have incorporated the Regge like behavior to obtain $Q^2$ evolution of gluon distribution function $G(x, Q^2)$. We have also checked the sensitivity of our results for different values of correlation radius (R) between two interacting gluons, viz. $R=2 GeV^{-1}$ and $R= 5 GeV^{-1}$ as well as for different values of Regge intercept $λ_G$. Our computed results are compared with those obtained by the most recent global DGLAP fits to the parton distribution functions viz. PDF4LHC15, NNPDF3.0, HERAPDF15, CT14 and ABM12.

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P. Phukan, M. Lalung, J. K. Sarma. 2017-07-06. NNLO solution of nonlinear GLR-MQ evolution equation to determine gluon distribution function using Regge like ansatz. https://doi.org/10.1016/j.nuclphysa.2017.09.003

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