Decoupling of the leading contribution in the discrete BFKL analysis of high-precision HERA data

We analyse, in NLO, the physical properties of the discrete eigenvalue solution for the BFKL equation. We show that a set of eigenfunctions with positive eigenvalues, ω , together with a small contribution from a continuum of eigenfunctions with negative ω , provide an excellent description of high-...

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Bibliographic Details
Published inThe European physical journal. C, Particles and fields Vol. 77; no. 11; pp. 1 - 17
Main Authors Kowalski, H., Lipatov, L. N., Ross, D. A., Schulz, O.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2017
Springer
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Astronomy
Astrophysics and Cosmology
Data analysis
Decoupling
Eigenvalues
Eigenvectors
Elementary Particles
Hadrons
Heavy Ions
Information management
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physical properties
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
String Theory
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Summary:We analyse, in NLO, the physical properties of the discrete eigenvalue solution for the BFKL equation. We show that a set of eigenfunctions with positive eigenvalues, ω , together with a small contribution from a continuum of eigenfunctions with negative ω , provide an excellent description of high-precision HERA F 2 data in the region, x < 0.001 , Q 2 > 6 GeV 2 . The phases of the eigenfunctions can be obtained from a simple parametrisation of the pomeron spectrum, which has a natural motivation within BFKL. The data analysis shows that the first eigenfunction decouples completely or almost completely from the proton. This suggests that there exists an additional ground state, which is naturally saturated and may have the properties of the soft pomeron.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-017-5359-7