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High Energy Physics - Phenomenology · arXiv:hep-ph/0307031 v2 · submitted 2 Jul 2003

Evolution Kernels from Splitting Amplitudes

David A. Kosower, Peter Uwer

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The paper says

“We recalculate the next-to-leading order Altarelli-Parisi kernel using a method which relates it to the splitting amplitudes describing the collinear factorization properties of scattering amplitudes.”

from the abstract · picked out as the main claim by a classifier

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The paper

Abstract

We recalculate the next-to-leading order Altarelli-Parisi kernel using a method which relates it to the splitting amplitudes describing the collinear factorization properties of scattering amplitudes. The method breaks up the calculation of the kernel into individual pieces which have an independent physical interpretation.

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. No sentence in this record was written by a model.

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 0.05 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.16 · 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.

SentenceRoleThe authors' own workStates the main conclusionStrength
We recalculate the next-to-leading order Altarelli-Parisi kernel using a method which relates it to the splitting amplitudes describing the collinear factorization properties of scattering amplitudes. contribution 0.89 0.95 0.28 asserted 1.00
The method breaks up the calculation of the kernel into individual pieces which have an independent physical interpretation. method 0.89 0.83 0.13 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.75 · evidence from proof or derivation 0.99

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

How the labels were made

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,272 input tokens, $0.0001 reported.

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON

Cited by 15 Pith papers

Reviewed papers on Pith that cite this one. The full citation record

  1. Relating amplitude and PDF factorisation through Wilson-line geometries hep-ph · Sep 2019
  2. Antenna Subtraction at NNLO hep-ph · May 2005
  3. Collinear Parton Dynamics Beyond DGLAP hep-ph · Oct 2022
  4. Multi-Collinear Splitting Kernels for Track Function Evolution hep-ph · Oct 2022
  5. A Consistent Prescription for the Production Involving Massive Quarks in Hadron Collisions hep-ph · Mar 2006
  6. Two-Loop g -> gg Splitting Amplitudes in QCD hep-ph · Apr 2004
  7. The triple collinear limit of one-loop QCD amplitudes hep-ph · Dec 2003
  8. Four-Particle Phase Space Integrals in Massless QCD hep-ph · Nov 2003
  9. Renormalization Group Flows for Track Function Moments hep-ph · Jan 2022
  10. Extending Precision Perturbative QCD with Track Functions hep-ph · Aug 2021
  11. Three-loop master integrals for ladder-box diagrams with one massive leg hep-ph · Aug 2014
  12. Fragmentation in Jets at NNLO hep-ph · Jul 2014
  13. Antenna subtraction with hadronic initial states hep-ph · Dec 2006
  14. Two-loop splitting functions in QCD hep-ph · May 2004
  15. Infrared Structure of $e^+e^- \to 2$ jets at NNLO hep-ph · Mar 2004
How the literature uses it

6 arXiv papers cite this in 7 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 · 3 sentences without a confident label

Uses its method or tool 4 papers
  • Next-to-leading order track function evolution.— We have computed the RGEs of the track functions by integrating the collinear splitting functions [ref] to obtain a jet function for the $n$th moment of charged particles, differential in the invariant mass of all particles [ref] .

    Extending Precision Perturbative QCD with Track Functions · Introduction · 0.86

  • In the direct phase space integration, we start by performing the integration over the invariants $s_ij$ in $4-2$ dimensions using the analytic results in the appendix of Ref. [ref] .

    Fragmentation in Jets at NNLO · Calculational Technique · 0.91

  • These integrals can be performed explicitly using the approach of [ref] (many integrals relevant for the quark case can be found in [ref] ).

    Renormalization Group Flows for Track Function Moments · Using Splitting Functions · 0.94

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