RECORD
Applications of a nonlinear evolution equation I: the parton distributions in the proton
High Energy Physics - Phenomenology · Submitted 8 Jun 2013
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This approach provides a powerful tool to connect the quark models of the hadron and various non-perturbative effects on them at scale $\mu^2$ with the measured structure functions at high scale $Q^2>> \mu^2$.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
The parton distributions in the proton are evaluated dynamically using a nonlinear QCD evolution equation - the DGLAP equation with twist-4 (the GLR-MQ-ZSR) corrections - starting from a low scale $\mu^2$, where the nucleon consists of valence quarks. We find that the negative nonlinear corrections can improve the perturbative stability of the QCD evolution equation at low $Q^2$. Our resulting parton distributions of the proton with four free parameters are compatible with the existing databases. We show that the sea quark distributions exhibit a positive and flattish behavior at small $x$ and low $Q^2$. This approach provides a powerful tool to connect the quark models of the hadron and various non-perturbative effects on them at scale $\mu^2$ with the measured structure functions at high scale $Q^2>> \mu^2$.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The parton distributions in the proton are evaluated dynamically using a nonlinear QCD evolution equation - the DGLAP equation with twist-4 (the GLR-MQ-ZSR) corrections - starting from a low scale $\mu^2$, where the nucleon consists of valence quarks. | method 0.86 | 0.89 | 0.08 | asserted 1.00 |
| s1 | We find that the negative nonlinear corrections can improve the perturbative stability of the QCD evolution equation at low $Q^2$. | result 0.94 | 0.96 | 0.32 | asserted 0.89 |
| s2 | Our resulting parton distributions of the proton with four free parameters are compatible with the existing databases. | result 0.99 | 0.93 | 0.21 | asserted 0.89 |
| s3 | We show that the sea quark distributions exhibit a positive and flattish behavior at small $x$ and low $Q^2$. | result 1.00 | 0.91 | 0.14 | asserted 1.00 |
| s4 | This approach provides a powerful tool to connect the quark models of the hadron and various non-perturbative effects on them at scale $\mu^2$ with the measured structure functions at high scale $Q^2>> \mu^2$. | interpretation 0.97 | 0.70 | 0.29 | asserted 0.99 |
What was examined, and what was not
- arXiv listing abstract v2
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
The parton distributions in the proton are evaluated dynamically using a nonlinear QCD evolution equation - the DGLAP equation with twist-4 (the GLR-MQ-ZSR) corrections - starting from a low scale $\mu^2$, where the nucleon consists of valence quarks. We find that the negative nonlinear corrections can improve the perturbative stability of the QCD evolution equation at low $Q^2$. Our resulting parton distributions of the proton with four free parameters are compatible with the existing databases. We show that the sea quark distributions exhibit a positive and flattish behavior at small $x$ and low $Q^2$. This approach provides a powerful tool to connect the quark models of the hadron and various non-perturbative effects on them at scale $\mu^2$ with the measured structure functions at high scale $Q^2>> \mu^2$.
Human review
How the literature uses it
2 arXiv papers cite this in 4 sentences
Papers citing it · 1 sentence without a confident label
Uses its method or tool 1 paper
-
In this analysis, we use the parton-parton recombination effect corrected DGLAP equations for the evolution of the unpolarized parton distributions, for which the equations can be found in the previous paper [ref] .
An analysis of polarized parton distribution functions with nonlinear QCD evolution equations · Polarized QCD evolution equations with parton-overlapping corrections · 0.99
Uses its data or values 1 paper
-
Note that the contribution of $F_2^DGLAP+ZRS(x,Q^2)$ is taken from Ref. [ref] , which is already fixed and determined by the experimental measurements at high $Q^2> 4 GeV^2$.
Looking for quark saturation in proton and nuclei · Quark saturation shown in the proton structure function at low $Q^2$ · 1.00
What it cites · 14 sentences without a confident label
Uses the method or tool of 1 paper
-
To avoid these disadvantages, the relations among the relevant high twist-amplitudes are derived by using the TOPT approach at the LL($Q^2$) approximation in a same framework as the derivation of the DGLAP equation in [ref] , where the TOPT cutting rules are proposed to connect with various cut diagrams instead of the AGK cutting rules.
A new approach to parton recombination in a QCD evolution equation · The nonlinear QCD evolution equation · 0.84
Compares with 8 papers
-
Although the predicted structure functions are lower than the ZEUS data [ref] , the plateau-like shapes allow us to establish a smooth connection between the partonic and non-partonic pictures of the nucleon's structure functions in low $Q^2$ and small $x$ range [ref] .
Measurement of the neutral current cross section and F2 structure function for deep inelastic e+p scattering at HERA · Parton distributions in the proton · 0.95
-
Although the predicted structure functions are lower than the ZEUS data [ref] , the plateau-like shapes allow us to establish a smooth connection between the partonic and non-partonic pictures of the nucleon's structure functions in low $Q^2$ and small $x$ range [ref] .
Structure Functions · Parton distributions in the proton · 0.95
-
Although the predicted structure functions are lower than the ZEUS data [ref] , the plateau-like shapes allow us to establish a smooth connection between the partonic and non-partonic pictures of the nucleon's structure functions in low $Q^2$ and small $x$ range [ref] .
Measurement of the Proton Structure Function F_2 at Very Low Q^2 at HERA · Parton distributions in the proton · 0.95
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.