The Exponent of the Non Singlet Structure Function at Leading Order up to Next-to-leading Order Analysis

Rezaei, B.; Boroun, G. R.; Heidari, S.

doi:10.1007/s10773-017-3305-y

Cited by 5 publications

(1 citation statement)

References 10 publications

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“…The results are then adjusted to fit the experimental data (mainly at small-x) available for the proton structure function F 2 (x, Q 2 ) measured in DIS, over a large range of values of x and Q 2 by adjusting the parameters in the initial distributions. With much phenomenological success approximate solutions of the linear DGLAP evolution equations have been reported in recent years [21][22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Effects in Gluon Distribution Predicted by GLR-MQ Evolution Equation at Next-to-leading Order in LHC Data

2017

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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 α 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 5GeV 2 ≤ Q 2 ≤ 25GeV 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 GeV −1 and 5 GeV −1 . We have also checked the sensitivity of the Regge intercept λ 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.

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