Solution of singlet and non-singlet unpolarized DGLAP evolution equations in next-to-next-to-leading order (NNLO) by method of characteristics

摘要

In this paper, the singlet and non-singlet structure functions have been obtained by solving Dokshitzer, Gribov, Lipatov, Altarelli, Parisi evolution equations in next-to- next-to-leading order at the small x limit. Here we have used Taylor Series expansion and then the method of characteristics to solve the evolution equation. We have also calculated t and x-evolutions of deuteron structure function as well as non singlet structure function and the results have been compared with the New Muon Collaboration, E665 experimental data, CLAS Collaboration and NNPDF Collaboration data.