Evolution of singlet structure functions from DGLAP equation at next-to-next-to-leading order at small-x

Abstract

A semi-numerical solution to Dokshitzer- Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations at leading order (LO), next-to-leading order (NLO) and next-to-next-to-leading order (NNLO) in the small-x limit is presented. Here we have used Taylor series expansion method to solve the evolution equations and, t- and x-evolutions of the singlet structure functions have been obtained with such solution. We have also calculated t- and x-evolutions of deuteron structure functions F_2^d, and the results are compared with the E665 data and NMC data. The results are also compared to those obtained by the fit to F_2^d produced by the NNPDF collaboration based on the NMC and BCDMS data.

26 pages, 6 figures

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Cited by in corpus (13)

• QCD analysis of nucleon structure functions in deep-inelastic neutrino-nucleon scattering: Laplace transform and Jacobi polynomials approach
• Analytical approaches to the determination of spin-dependent parton distribution functions at NNLO approximation
• Nonlinear GLR-MQ evolution equation and Q^2-evolution of gluon distribution function
• An Evaluation of The Proton Structure Functions $F_2$ and $F_L$ at Small $x$
• A Phenomenological Solution Small $x$ to the Longitudinal Structure Function Dynamical Behavior
• Longitudinal structure function from the parton parameterization
• Ratio of the structure functions and the color dipole model bound
• Nonlinear corrections on the parameterization methods
• Comparative analysis of analytical solutions for $F_2^P$ at small $x$ in DGLAP approach
• Dynamical behavior connection of the gluon distribution and the proton structure function 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
• Small $x$ phenomenology on gluon evolution through BFKL equation in light of a constraint in multi-Regge kinematics
• Impact of Charge Symmetry Breaking on Gluon and Sea Quark Distributions in the Pion and Kaon