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arXiv · 1402.0789

Analytic Approach to the Approximate Solution of the Independent DGLAP Evolution Equations with Respect to the Hard-Pomeron Behavior

B. Rezaei·G. R. Boroun
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Abstract

We show that it is possible to use hard-Pomeron behavior to the gluon distribution and singlet structure function at low $x$. We derive a second-order independent differential equation for the gluon distribution and the singlet structure function. In this approach, both singlet quarks and gluons have the same high-energy behavior at small $x$. These equations are derived from the next-to-leading order DGLAP evolution equations. All results can be consistently described in the framework of perturbative QCD, which shows an increase of gluon distribution and singlet structure functions as $x$ decreases.

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B. Rezaei, G. R. Boroun. 2014-02-04. Analytic Approach to the Approximate Solution of the Independent DGLAP Evolution Equations with Respect to the Hard-Pomeron Behavior. https://doi.org/10.1134/s1063776111020099

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