The Balitsky-Kovchegov equation in full momentum space

C. Marquet; G. Soyez

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The Balitsky-Kovchegov equation in full momentum space

C. Marquet, G. Soyez

High Energy Physics - Phenomenology · Submitted 11 Apr 2005

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We extract the q dependence of the saturation scale Q_s(Y) and verify that Q_s(Y=cste) scales as max(q,Q_T), where Q_T is the scale caracterizing the target.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.17 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.24 · compares with prior results 0.19 · mentions code or data availability 0.02.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We analyse the Balitsky-Kovchegov (BK) saturation equation in momentum space and solve it numerically. We confirm that, in the limit where the transverse momentum of the incident particle k is much bigger than the momentum transfer q, the equation admits travelling-wave solutions. We extract the q dependence of the saturation scale Q_s(Y) and verify that Q_s(Y=cste) scales as max(q,Q_T), where Q_T is the scale caracterizing the target.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We analyse the Balitsky-Kovchegov (BK) saturation equation in momentum space and solve it numerically.	contribution 0.93	0.96	0.09	asserted 0.97
s1	We confirm that, in the limit where the transverse momentum of the incident particle k is much bigger than the momentum transfer q, the equation admits travelling-wave solutions.	result 0.99	0.87	0.27	asserted 1.00
s2	We extract the q dependence of the saturation scale Q_s(Y) and verify that Q_s(Y=cste) scales as max(q,Q_T), where Q_T is the scale caracterizing the target.	result 0.99	0.94	0.46	asserted 1.00

What kind of paper the classifier reports this is: simulation study 0.91 · evidence from simulation or computation 1.00.

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arXiv listing abstract v2

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

We analyse the Balitsky-Kovchegov (BK) saturation equation in momentum space and solve it numerically. We confirm that, in the limit where the transverse momentum of the incident particle k is much bigger than the momentum transfer q, the equation admits travelling-wave solutions. We extract the q dependence of the saturation scale Q_s(Y) and verify that Q_s(Y=cste) scales as max(q,Q_T), where Q_T is the scale caracterizing the target.

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References

Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Tracing Gluon Saturation through Hadronization at EIC
hep-ph 2026-09 conditional novelty 6.0 of 10

Global hadronic recoil, reconstructed via Bayesian unfolding of e+p response, provides a robust observable for gluon saturation at the EIC that survives hadronization.
Confronting impact parameter dependent JIMWLK evolution with HERA data
hep-ph 2018-06 conditional novelty 6.0 of 10

Full JIMWLK evolution of a finite-size proton, confronted with HERA structure function and diffractive J/psi data, indicates that gluon saturation is not accessible in electron-proton collisions at HERA energies.
Numerical solution of the nonlinear evolution equation at small x with impact parameter and beyond the LL approximation
hep-ph 2010-10 conditional novelty 5.0 of 10

Including impact parameter in the small-x nonlinear evolution equation makes the solution sensitive to kinematical cuts that are invisible in the impact-parameter-independent approximation.
Single Inclusive Hadron Production at RHIC and the LHC from the Color Glass Condensate
hep-ph 2010-01 conditional novelty 5.0 of 10

A running-coupling BK gluon distribution, with two parameters fitted to RHIC forward data, describes p+p and d+Au hadron spectra and predicts roughly factor-two suppression of forward hadrons in p+Pb at the LHC.
An Analytical Solution of the Balitsky-Kovchegov Equation with the Homogeneous Balance Method
hep-ph 2020-09 conditional novelty 4.0 of 10

The authors derive a traveling-wave solution to the diffusive-approximation BK equation, match it to CT14 gluon distributions, and extract a saturation scale Q_s^2 proportional to (1/x)^0.386.

Show 1 more citing papers

QCD-Gravity double copy in Regge asymptotics: from $2\rightarrow n$ amplitudes to radiation in shockwave collisions
hep-th 2025-07 accept novelty 3.0 of 10

A lecture-note synthesis showing that the same Lipatov vertices and reggeized propagators govern multi-particle production in QCD and gravity, with double-copy, Weinberg soft, and shockwave limits all connected in one...

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6 arXiv papers cite this in 6 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 5 sentences without a confident label

Uses its data or values 1 paper

The parameter values $θ$, $A_0$, $A_1$, $A_2$ are referred to [ref] , which can be obtained by fitting experimental data.

High $Q^2$ Behavior of the Proton Structure Function through the Balitsky-Kovchegov Equation · Formalism · 0.93

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