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arXiv · 1404.0808

A lower bound on the Longitudinal Structure Function at small x from a self-similarity based model of Proton

Akbari Jahan·D. K. Choudhury
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Abstract

Self-similarity based model of proton structure function at small \textit{x} was reported in the literature sometime back. The phenomenological validity of the model is in the kinematical region $ 6.2\, \times \, 10^{-7} \leq x \leq 10^{-2}$ and $ 0.045 \leq Q^{2} \leq 120 \, \mathrm{GeV^{2}} $. We use momentum sum rule to pin down the corresponding self-similarity based gluon distribution function valid in the same kinematical region. The model is then used to compute bound on the longitudinal structure function $F_{L}\left(x,Q^{2} \right)$ for Altarelli-Martinelli equation in QCD and is compared with the recent HERA data.

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Akbari Jahan, D. K. Choudhury. 2014-04-03. A lower bound on the Longitudinal Structure Function at small x from a self-similarity based model of Proton. https://arxiv.org/abs/1404.0808

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