2017/06/26 by B. I. Ermolaev, Ermolaev, B. I., S. I. Troyan +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.1706.08371
openalex publication_date 2017/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We calculate the perturbative component of the DIS structure function F1 singlet in the Double-Logarithmic Approximation (DLA) and account at the same time for the running QCD coupling effects. By constructing and solving evolution equations accounting for the both x- and Q2- evolutions, we obtain the explicit expression for F1 and, applying the saddle-point method, calculate its small-x asymptotics which proves to be of the Regge form with the intercept = 1.066. Its large value compensates for the lack of the factor 1/x in the DLA contributions. Such fast growth at small x proves that the DLA expressions are quite important for description of all QCD processes involving the vacuum (Pomeron) exchanges. We also obtain that the small-x asymptotics of F1 depend on a single variable Q2/x2 and show that the small-x asymptotics reliably represent F1 at x = 10-6 or less.