Taylor expansion method to solve Dokshitzer-Gribov-Lipatov- Altarelli-Parisi equations in leading and next-to-leading orders at small-x

Abstract

We present particular and unique solutions of singlet and non-singlet Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations in leading order (LO) and next-to-leading order (NLO) and gluon, sea and valence quark Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations in leading order (LO) by applying Taylor expansion method at small-x. We obtain t-evolutions of deuteron, proton, neutron, difference and ratio of proton and neutron, gluon, light sea and valence quark structure functions and x-evolution of deuteron,gluon and light sea quark structure functions at small-x from DGLAP evolution equations. The results of tevolutions are compared with HERA and NMC low-x low-Q2 data and x-evolutions are compared with NMC low-x low-Q2 data and recent global parameterization. And also we compare our results of t-evolution of proton structure functions with a recent global parameterization.