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Systematics of geometric scaling

2006/10/31 by F. Gelis, R. Peschanski, Grégory Soyez +2 · 3 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/j.physletb.2007.01.055

published as Phys.Lett.B647:376-379,2007 · 4 pages, 4 figures

arxiv created 2006/10/31 · openalex publication_date 2007/02/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using all available data on the deep-inelastic cross-sections at HERA at x<0.01, we look for geometric scaling of the form σγ^*p(τ) where the scaling variable τbehaves alternatively like log(Q2)-λY, as in the original definition, or log(Q2)-λ√(Y), which is suggested by the asymptotic properties of the Balitsky-Kovchegov (BK) equation with running QCD coupling constant. A ``Quality Factor'' (QF) is defined, quantifying the phenomenological validity of the scaling and the uncertainty on the intercept λ. Both choices have a good QF, showing that the second choice is as valid as the first one, predicted for fixed coupling constant. A comparison between the QCD asymptotic predictions and data is made and the QF analysis shows that the agreement can be reached, provided going beyond leading logarithmic accuracy for the BK equation.

Citations

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