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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| Published in | The European physical journal. C, Particles and fields Vol. 77; no. 11; pp. 1 - 17 |
|---|---|
| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
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01.11.2017
Springer Springer Nature B.V SpringerOpen |
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| Abstract | 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. |
|---|---|
| AbstractList | 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, [Formula omitted], together with a small contribution from a continuum of eigenfunctions with negative [Formula omitted], provide an excellent description of high-precision HERA [Formula omitted] data in the region, [Formula omitted], [Formula omitted] [Formula omitted]. 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. 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. Abstract 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, $$ \omega $$ ω , together with a small contribution from a continuum of eigenfunctions with negative $$ \omega $$ ω , provide an excellent description of high-precision HERA $$F_2$$ F 2 data in the region, $$x<0.001$$ x < 0.001 , $$Q^2 > 6 $$ Q 2 > 6 $$\hbox {GeV}^2$$ 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. 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 F2 data in the region, x<0.001, Q2>6GeV2. 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. |
| ArticleNumber | 777 |
| Audience | Academic |
| Author | Lipatov, L. N. Kowalski, H. Ross, D. A. Schulz, O. |
| Author_xml | – sequence: 1 givenname: H. surname: Kowalski fullname: Kowalski, H. email: henri.kowalski@desy.de organization: Deutsches Elektronen-Synchrotron DESY – sequence: 2 givenname: L. N. surname: Lipatov fullname: Lipatov, L. N. organization: St. Petersburg State University, Petersburg Nuclear Physics Institute – sequence: 3 givenname: D. A. surname: Ross fullname: Ross, D. A. organization: School of Physics and Astronomy, University of Southampton – sequence: 4 givenname: O. surname: Schulz fullname: Schulz, O. organization: Max Planck Institute for Physics |
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| Snippet | 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... Abstract We analyse, in NLO, the physical properties of the discrete eigenvalue solution for the BFKL equation. We show that a set of eigenfunctions with... |
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| SubjectTerms | 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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| Title | Decoupling of the leading contribution in the discrete BFKL analysis of high-precision HERA data |
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