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Recursion relations, Helicity Amplitudes and Dimensional Regularization

High Energy Physics - Phenomenology · Submitted 12 Oct 2005

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

The authors' main claim Using the method of on-shell recursion relations we compute tree level amplitudes including D-dimensional scalars and fermions.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-ph/0510148 (version 2)
Pith IDYV4BRBIN, Pith's permanent record of this paper and its review
CitationCallum Quigley, Moshe Rozali. "Recursion relations, Helicity Amplitudes and Dimensional Regularization." arXiv:hep-ph/0510148 (2005). https://pith.science/paper/YV4BRBIN
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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, 2,241 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.14 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.05 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

Using the method of on-shell recursion relations we compute tree level amplitudes including D-dimensional scalars and fermions. These tree level amplitudes are needed for calculations of one-loop amplitudes in QCD involving external quarks and gluons.

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 Using the method of on-shell recursion relations we compute tree level amplitudes including D-dimensional scalars and fermions. contribution 0.92 0.95 0.54 asserted 1.00
s1 These tree level amplitudes are needed for calculations of one-loop amplitudes in QCD involving external quarks and gluons. background 0.67 0.16 0.16 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.82 · evidence from proof or derivation 0.84.

What was examined, and what was not

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  • figures and tables
  • references and citing sentences
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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

Using the method of on-shell recursion relations we compute tree level amplitudes including D-dimensional scalars and fermions. These tree level amplitudes are needed for calculations of one-loop amplitudes in QCD involving external quarks and gluons.

Human review
References
How the literature uses it

2 arXiv papers cite this in 3 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 · 2 sentences without a confident label

Builds on it 1 paper
  • Among the various generalizations of BCFW recursion relation [ref] , we exemplify its generalization to QCD amplitudes [ref] , where there are massive quarks with mass m besides the massless YM fields i.e. gluons.

    A Tale Of Two Amplitudes In High Energy Physics · BCFW Recursion Relation in QCD with Massive Dirac Fields · 0.80

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