Solutions of independent DGLAP evolution equations for the gluon distribution and singlet structure functions in the next-to-leading order at low x

Journal Article · Tue Apr 15 00:00:00 EDT 2008 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776108040080· OSTI ID:21242036

Boroun, G. R. ^[1]

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1. Razi University, Physics Department (Iran, Islamic Republic of), E-mail: [e-mail]

We present a set of independent formulas to extract the gluon distribution and the singlet structure function from its derivatives with respect to lnQ{sup 2} in the next-to-leading order of perturbation theory at low x based on a hard Pomeron exchange. In this approach, both singlet quarks and gluons have the same high-energy behavior at small x. This approach requires the QCD input parameterizations for independent DGLAP evolutions, which we calculated numerically and compared with the MRST, GRV, and DL models. The Pomeron has a hard nature. Its evolution gives a good fit to the experimental data. The values obtained are in the range 10{sup -4} {<=} x {<=} 10{sup -2} at Q{sup 2} = 20 GeV{sup 2}.

• OSTI ID: 21242036
• Journal Information: Journal of Experimental and Theoretical Physics, Vol. 106, Issue 4; Other Information: DOI: 10.1134/S1063776108040080; Copyright (c) 2008 Pleiades Publishing, Ltd; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EQUATIONS
GLUONS
MATHEMATICAL EVOLUTION
MATHEMATICAL SOLUTIONS
PERTURBATION THEORY
POMERANCHUK PARTICLES
QUANTUM CHROMODYNAMICS
QUARKS
STRUCTURE FUNCTIONS