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Single and Double BFKL Pomeron Exchange and a Dipole Picture of High Energy Hard Processes

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A.H. Mueller, Bimal Patel

High Energy Physics - Phenomenology · Submitted 9 Mar 1994

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

The authors' main claim An expression is given for the triple pomeron coupling when one of the pomeron's momentum is zero while the other two have momentum transfer, t.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-ph/9403256 (version 2)
Pith IDI5ABUKNT, Pith's permanent record of this paper and its review
CitationA.H. Mueller, Bimal Patel. "Single and Double BFKL Pomeron Exchange and a Dipole Picture of High Energy Hard Processes." arXiv:hep-ph/9403256 (1994). https://pith.science/paper/I5ABUKNT
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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, 4,157 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.23 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.29 · compares with prior results 0.07 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

Onium-onium scattering at high energy is used to illustrate a dipole picture of high energy hard scattering in the large $N_c$ limit. Single and double BFKL pomeron exchanges are calculated in the leading logarithmic approximation. An expression is given for the triple pomeron coupling when one of the pomeron's momentum is zero while the other two have momentum transfer, t. This expression is explicit and could be evaluated numerically. It has a $(-t)^{-{1\over 2}}$ singularity at t=0.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Onium-onium scattering at high energy is used to illustrate a dipole picture of high energy hard scattering in the large $N_c$ limit. method 0.43 0.66 0.15 asserted 1.00
s1 Single and double BFKL pomeron exchanges are calculated in the leading logarithmic approximation. method 0.57 0.90 0.08 asserted 1.00
s2 An expression is given for the triple pomeron coupling when one of the pomeron's momentum is zero while the other two have momentum transfer, t. result 0.77 0.89 0.17 asserted 1.00
s3 This expression is explicit and could be evaluated numerically. result 0.55 0.77 0.06 hedged possibility 0.95
s4 It has a $(-t)^{-{1\over 2}}$ singularity at t=0. result 1.00 0.84 0.13 asserted 1.00

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

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

Onium-onium scattering at high energy is used to illustrate a dipole picture of high energy hard scattering in the large $N_c$ limit. Single and double BFKL pomeron exchanges are calculated in the leading logarithmic approximation. An expression is given for the triple pomeron coupling when one of the pomeron's momentum is zero while the other two have momentum transfer, t. This expression is explicit and could be evaluated numerically. It has a $(-t)^{-{1\over 2}}$ singularity at t=0.

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References
How later papers used it

94 later papers cite it

Evidence: some. 92 of the citing papers share no author with it, and 17 of those carry a confident label from Pith's citation classifier.

Pith read 3 of the 146 citing sentences, choosing only those whose citation markers point at this paper alone, and wrote the paraphrases from them. The summary, the counts, the evidence level, the links and the quotes come from code; the summary counts the papers listed below. A later paper is listed under a label when Pith's citation classifier gives one of its sentences that label at probability 0.8 or more (0.95 for support), Pith's reading finds that the citing paper itself did it, and a second check confirms the paraphrase against the sentence. This section lists uses only. It does not list criticism or disagreement, so their absence here says nothing about how the paper has been received. Papers that share an author with this one are listed apart, under "By the same authors". A quote is the citing authors' own sentence, shown when their paper's licence is CC BY, CC BY-SA or CC0. JSON

Uses its method or tool 1 of 13 papers with this label
How the literature uses it

91 arXiv papers cite this in 144 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 · 80 sentences without a confident label

Builds on it 1 paper
Uses its method or tool 13 papers
  • In what follows we employ the color dipole approach introduced in [ref] .

    Real Compton Scattering via Color Dipoles · Introduction · 1.00

  • To evaluate the diagram $α$ we employ the quark propagator [ref] [equation] with the matrix element for the transverse spinors [ref] (and for massless quarks) [equation] The contribution of the diagram $α$ to the evolution of $H^1_ 10 (z)$ is [equation] The contribution of the $α$-diagram to $H^2_ 10 (z)$ can be calculated similarly and is [equation] Adding the eikonal contributions from the diagrams $β, γ, δ$, etc., using the standard technique [ref] we arrive at the evolution equations for the amplitudes $H^1_10 (z)$ and $H^2_10 (z)$

    T-odd Leading-Twist Quark TMDs at Small $x$ · Evolution of the Flavor Non-Singlet Boer-Mulders Function at Small $x$ · 0.95

  • The rope model outlined above has been implemented in the [ref] event generator. is based on Mueller's dipole cascade model [ref] , which is a formulation of leading-log BFKL evolution [ref] in transverse coordinate space, making it very well suited for a study of coherence effects based on spatial overlap of strings.

    Effects of Overlapping Strings in pp Collisions · Implementation of ropes in the Generator · 0.83

Uses its data or values 1 paper
Compares with it 1 paper
  • The enhancement shown in Fig. [ref] is reminiscent of that of the dipole pair distribution in Mueller's dipole model [ref] , both for the spacelike [ref] and timelike [ref] parton showers.

    Non-global logarithms in hadron collisions at $N_c=3$ · Higgs decaying into two gluons · 0.86

Cites it as support 1 paper
Cites it as background 43 papers

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