Eur. Phys. J. C (2012) 72: 2036
https://doi.org/10.1140/epjc/s10052-012-2036-8

Regular Article - Theoretical Physics

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

¹ HEP Laboratory, Department of Physics, Tezpur University, Tezpur, Assam, 784 028, India
² Department of Physics, J. N. College, Boko, 781123, Assam, India

^* e-mail: deveemayuri@gmail.com

Received: 1 October 2011
Revised: 2 March 2012
Published online: 15 June 2012

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-evolution of deuteron structure functions , and the results are compared with the E665 data and NMC data. The results are also compared to those obtained by the fit to produced by the NNPDF collaboration based on the NMC and BCDMS data.