Method of characteristics and solution of DGLAP evolution equation in leading order (LO) and next to leading order (NLO) at small-x

Abstract

In this paper the singlet and non-singlet structure functions have been obtained by solving Dokshitzer, Gribove, Lipatov, Alterelli, Parisi (DGLAP) evolution equations in leading order (LO) and next to leading order (NLO) at the small x limit. Here we have used a Taylor Series expansion and then the method of characteristics to solve the evolution equations. We have also calculated t and x-evolutions of deuteron structure function and the results are compared with the New Muon Collaboration (NMC) data.

16 pages including 7 figures

References in corpus (3)

• Measurement of the proton and deuteron structure functions, F2p and F2d, and of the ratio sigma(L)/sigma(T)
• Numerical solution of Q^2 evolution equations for polarized structure functions
• NNLO Logarithmic Expansions and Exact Solutions of the DGLAP Equations from x-Space: New Algorithms for Precision Studies at the LHC

Cited by in corpus (6)

• Evolution of singlet structure functions from DGLAP equation at next-to-next-to-leading order at small-x
• Nonlinear effects in gluon distribution predicted by GLR-MQ evolution equation at next-to-leading order in LHC data
• 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
• The NNLO QCD analysis of gluon distribution function at small-x