Solving the BFKL Equation in the Next-to-Leading Approximation

2); (2) DAMTP; Agustin Sabio Vera (1) ((1) Cavendish Laboratory; Jeppe R. Andersen (1; U. of Cambridge; U. of Cambridge)

RECORD

Solving the BFKL Equation in the Next-to-Leading Approximation

Jeppe R. Andersen (1, 2), Agustin Sabio Vera (1) ((1) Cavendish Laboratory, U. of Cambridge, (2) DAMTP, U. of Cambridge)

High Energy Physics - Phenomenology · Submitted 21 May 2003

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

The authors' main claim The Balitsky-Fadin-Kuraev-Lipatov equation in the next-to-leading logarithmic approximation is solved using an iterative method.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-ph/0305236 (version 2)

Pith IDXQWYAYRO, Pith's permanent record of this paper and its review

Citation2), (2) DAMTP, Agustin Sabio Vera (1) ((1) Cavendish Laboratory, Jeppe R. Andersen (1, U. of Cambridge, U. of Cambridge). "Solving the BFKL Equation in the Next-to-Leading Approximation." arXiv:hep-ph/0305236 (2003). https://pith.science/paper/XQWYAYRO

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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.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,831 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.21 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.06 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

The Balitsky-Fadin-Kuraev-Lipatov equation in the next-to-leading logarithmic approximation is solved using an iterative method. We derive the solution for forward scattering with all conformal spins. A discussion of the infrared finiteness of the results is included.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The Balitsky-Fadin-Kuraev-Lipatov equation in the next-to-leading logarithmic approximation is solved using an iterative method.	contribution 0.56	0.90	0.41	asserted 1.00
s1	We derive the solution for forward scattering with all conformal spins.	result 0.54	0.95	0.39	asserted 1.00
s2	A discussion of the infrared finiteness of the results is included.	contribution 0.86	0.85	0.08	asserted 0.83

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.94.

What was examined, and what was not

sources read

arXiv listing abstract v2

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

not run

S sections
T body sentences
C citations
R cross-paper relations

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

The Balitsky-Fadin-Kuraev-Lipatov equation in the next-to-leading logarithmic approximation is solved using an iterative method. We derive the solution for forward scattering with all conformal spins. A discussion of the infrared finiteness of the results is included.

Human review

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References

Forward citations

Cited by 3 Pith papers

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

L\'evy structure of the forward fixed-coupling BFKL kernel and a fixed-order obstruction to positivity in the symmetric scheme
hep-ph 2026-09 accept novelty 7.0 of 10

The leading-order BFKL kernel is identified with a pure-jump Levy process, while the fixed-order next-to-leading kernel is shown to preclude any probability law in the symmetric scheme.
On the role of NLL corrections and Energy Conservation in the High Energy Evolution of QCD
hep-ph 2006-02 conditional novelty 6.0 of 10

A new direct Monte Carlo solution of the BFKL equation shows that energy-momentum conservation cuts are separate from the NLL corrections to the evolution kernel.
Multiple Jets at the LHC with High Energy Jets
hep-ph 2011-01 accept novelty 5.0 of 10

The High Energy Jets Monte Carlo reproduces all-order wide-angle QCD radiation in multi-jet events, matched to tree-level accuracy up to four jets, and predicts substantially harder jet spectra than leading order at t...

How the literature uses it

3 arXiv papers cite this in 4 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 whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 1 paper

We solve the Balitsky-Fadin-Kuraev-Lipatov equation in the next-to-leading logarithmic approximation for forward scattering with all conformal spins using an iterative method.

Solution of the BFKL Equation at Next-to-leading Order · 0.99

Papers citing it · 3 sentences without a confident label

Cites it as background 1 paper

As well known, see for example [ref] , the NLL evolution is significantly slower than the leading order evolution.

Next-to-leading and resummed BFKL evolution with saturation boundary · Results with fixed coupling · 0.87

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