Longitudinal structure function from the parton parameterization

Abstract

We present a set of formulas to extract the longitudinal structure function from the proton structure function and its derivatives with respect to lnQ2 in the next-to-next-to-leading order of the perturbative theory at low x based on a hard poemron exchange. The behavior of the DIS cross section ratio R(x;Q2) and the ratio FL(x;Q2)=F2(x;Q2) studied and compared with the experimental data, also these behaviors controlled by the color dipole model bound. These results show a good agreement with the DIS experimental data throughout the low values of x. These results within the next-to-next-to-leading order approximation at very low x can be applied in the LHeC region for analyses of ultra-high energy processes.

arXiv comment15 pages, 7 figures

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Cited by in corpus (9)

• An Evaluation of The Proton Structure Functions $F_2$ and $F_L$ at Small $x$
• Higher order approximations to the longitudinal structure function $F_L$ from the parametrization of $F_2$ based on the Laplace transformation
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• Nonlinear corrections on the parameterization methods
• Effect of the parameterization of the distribution functions on the longitudinal structure function at small $x$
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• Physical limits in the Color Dipole Model Bounds
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• An overview of scale invariance in proton structure with holographic insights