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

• Published in: The European physical journal. C, Particles and fields Vol. 72; no. 6; pp. 1 - 11
• Main Authors: Devee, Mayuri, Baishya, R., Sarma, J. K.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer-Verlag 01-06-2012; Springer; Springer Nature B.V
• Subjects: Astronomy; Astrophysics and Cosmology; Deuterons; Elementary Particles; Evolution; Exact sciences and technology; Hadrons; Heavy Ions; Mathematical analysis; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Regular Article - Theoretical Physics; Series expansion; String Theory; Taylor series; The physics of elementary particles and fields; Structure function; Deep-inelastic scattering (DIS); DGLAP equation; Deuterons; Numerical solution; Elementary particles; Series expansion; Structure functions; Evolution equation; Taylor series; Taylor expansion; Singlet; Mathematical physics
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-012-2036-8

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.