High Energy Physics - Phenomenology · arXiv:hep-ph/0508130 v2 · submitted 11 Aug 2005
Hadron collisions and the fifth form factor
The paper says
“Unexpected symmetry under exchange of internal and external variables of the problem is pointed out for the anomalous dimension that governs soft gluon effects in hard gluon–gluon scattering.”
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The paper
Abstract
Logarithmically enhanced effects due to radiation of soft gluons at large angles in 2 → 2 QCD scattering processes are treated in terms of the "fifth form factor" that accompanies the four collinear singular Sudakov form factors attached to incoming and outgoing hard partons. Unexpected symmetry under exchange of internal and external variables of the problem is pointed out for the anomalous dimension that governs soft gluon effects in hard gluon–gluon scattering.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.08 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v2). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| Logarithmically enhanced effects due to radiation of soft gluons at large angles in $2\to 2$ QCD scattering processes are treated in terms of the "fifth form factor" that accompanies the four collinear singular Sudakov form factors attached to incoming and outgoing hard partons. | contribution 0.81 | 0.70 | 0.36 | asserted 1.00 |
| Unexpected symmetry under exchange of internal and external variables of the problem is pointed out for the anomalous dimension that governs soft gluon effects in hard gluon--gluon scattering. | result 0.97 | 0.83 | 0.27 | asserted 1.00 |
What kind of paper the classifier reports this is: theoretical result 0.99 · 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
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Levels run
- P abstract
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- S sections
- T body sentences
- C citations
- R cross-paper relations
How the labels were made
Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,378 input tokens, $0.0001 reported.
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Cited by 12 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Super-leading logarithms in non-global observables in QCD? hep-ph · Apr 2006
- The Non-Abelian Exponentiation theorem for multiple Wilson lines hep-ph · Apr 2013
- The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole hep-ph · Jul 2006
- The Two-loop Anomalous Dimension Matrix for Soft Gluon Exchange hep-ph · Jun 2006
- Parton branching at amplitude level hep-ph · May 2019
- Soft evolution of multi-jet final states hep-ph · Nov 2014
- Jet Shapes and Jet Algorithms in SCET hep-ph · Jan 2010
- Matter Dependence of the Three-Loop Soft Anomalous Dimension Matrix hep-ph · Jan 2009
- Soft gluons at large angles in hadron collisions hep-ph · Sep 2005
- Super-leading logarithms in non-global observables in QCD: Colour basis independent calculation hep-ph · Aug 2008
- Looking inside jets: an introduction to jet substructure and boosted-object phenomenology hep-ph · Jan 2019
- QCD resummation for hadronic final states hep-ph · May 2015
How the literature uses it
11 arXiv papers cite this in 28 sentences
Papers whose main result relates to this one's
States the same result 1 paper
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We found an unexpected symmetry of the soft anomalous dimension under exchange of internal and external variables of the problem whose existence calls for explanation.
Papers citing it · 20 sentences without a confident label
Uses its method or tool 1 paper
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Following Ref. [ref] , we can express B-def in terms of squared color charges by using
Nuclear $p_\perp$-broadening of an energetic parton pair · Relation of $$ to soft anomalous dimension matrix · 0.96
Compares with it 1 paper
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⟨α| Q |β⟩ = 4 N - C_α/2N δ_αβ + X_t - X_u/X_t + X_u ⟨α| (T_t^2 - T_u^2) |β⟩/2N , which using Tt2minusTu2-ortho-basis can be verified to agree with the results of Refs. [ref] .
Nuclear $p_\perp$-broadening of an energetic parton pair · Anomalous dimension matrix for $gg →gg$ · 0.99
Cites it as background 4 papers
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The quantity we are interested in is the NLL “soft function” [ref]
Soft evolution of multi-jet final states · The soft function and its anomalous dimension · 0.87
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For soft wide angle radiation, where real and virtual gluon emission cancel (at least for global observables), this complication can be expressed in terms of a matrix containing colour and phase space information, the soft anomalous dimension matrix [ref] , [equation] where $_i·_j$ denotes the effect of exchanging a gluon between partons $i$ and $j$ on the colour structure and $Ω_ij$ is the result of integrating (azimuth and rapidity) over the region of phase space where emission is forbidden.
Symmetry of anomalous dimension matrices explained · Introduction · 0.96
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Let us mention that the matrices $$ and $$ defined by eq:B–eq:Bbar also appear in the study of parton pair transverse momentum broadening [ref] and, more generally, are related to the soft anomalous dimension matrix $$ of $2→2$ processes [ref] .
Coherent gluon radiation: beyond leading-log accuracy · Induced gluon radiation spectrum · 0.86
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