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Unpolarized DIS structure functions in Double-Logarithmic Approximation

2021/11/10 by B. I. Ermolaev, Ermolaev, B. I., S. I. Troyan +1
Computer Science · #FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Phenomenology (hep-ph) #Matrix Theory and Algorithms

paper · pdf · doi:10.48550/arxiv.2111.05581

openalex publication_date 2021/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present description of the DIS structure functions F1 and F2 at small x obtained in double-logarithmic approximation (DLA). First we clarify our previous results on F1 and then obtain explicit expressions for F2. Our calculations confirm our previous result that the small-x asymptotics of F1 is controlled by a new Pomeron that has nothing to do with the BFKL Pomeron, though their intercepts are pretty close. The latter means that studying the small-x dependence of the unpolarized DIS cannot ascertain which of those Pomerons is actually involved. However, we predict a quite different and universal Q2-dependence of F1,F2 in DLA compared to the approaches involving the both DGLAP and BFKL. On that basis, we construct simple relations between logarithms of F1, F2, which can be verified with analysis of experimental data. In contrast to F1, the intercept controlling the small-x asymptotics of F2 is very small but positive, which ensures growth of F2 at small x.

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