Regge behaviour of distribution functions and t and x-evolutions of gluon distribution function at low-x

Abstract

In this paper t and x-evolutions of gluon distribution function from Dokshitzer-Gribov-Lipatov-Altarelli-Parisi(DGLAP) evolution equation in leading order(LO) at low-x, assuming the Regge behaviour of quark and gluon at this limit, are presented. We compare our results of gluon distribution function with MRST 2001, MRST 2004 and GRV '98 parameterizations and show the compatibility of Regge behaviour of quark and gluon distribution functions with perturbative quantum chromodynamics(PQCD) at low-x. We also discuss the limitations of Taylor series expansion method used earlier to solve DGLAP evolution equations, in the Regge behaviour of distribution functions.

19 pages, 7 figures

References in corpus (4)

• MRST2001: partons and alpha_S from precise deep inelastic scattering and Tevatron jet data
• Measurement of the neutral current cross section and F2 structure function for deep inelastic e+p scattering at HERA
• Measurement of the Inclusive Jet Cross Section in $\bar{p}p$ collisions at $\sqrt{s}=1.8$ TeV
• Gluon distribution at moderately low-x from NMC deuteron structure function data

Cited by in corpus (1)

• Regge behaviour of distribution functions and evolution of gluon distribution function in Next-to-Leading order at low-x