Eur. Phys. J. C (2009) 60: 585-591
https://doi.org/10.1140/epjc/s10052-009-0976-4

Regular Article - Theoretical Physics

Semi numerical solution of non-singlet Dokshitzer–Gribov–Lipatov–Altarelli–Parisi evolution equation up to next-to-next-to-leading order at small x

¹ Physics Department, J. N. College, Boko, 781123, Assam, India
² Physics Department, Tezpur University, Napam, 784028, Assam, India

^* e-mail: rjitboko@yahoo.co.in

Received: 1 December 2007
Revised: 11 December 2008
Published online: 18 March 2009

Abstract

The non-singlet structure functions have been obtained by solving Dokshitzer–Gribov–Lipatov–Altarelli–Parisi (DGLAP) evolution equations in next-next-to-leading order (NNLO) in the small-x limit. Here a Taylor series expansion has been used to solve the evolution equations and we obtain the semi numerical solution. Results are compared with the Fermi Lab experiment E665 data and New Muon Collaboration (NMC) data.