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High Energy Physics - Theory · arXiv:hep-th/0509063 v2 · submitted 9 Sep 2005

MHV Techniques for QED Processes

K.J. Ozeren, W.J. Stirling

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The paper says

“We show how such techniques can also be applied to abelian theories such as QED, by studying the simplest tree-level multiparticle process, e^+e^- to n \gamma.”

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The paper

Abstract

Significant progress has been made in the past year in developing new `MHV' techniques for calculating multiparticle scattering amplitudes in Yang-Mills gauge theories. Most of the work so far has focussed on applications to Quantum Chromodynamics, both at tree and one-loop level. We show how such techniques can also be applied to abelian theories such as QED, by studying the simplest tree-level multiparticle process, e^+e^- to n \gamma. We compare explicit results for up to n=5 photons using both the Cachazo, Svrcek and Witten `MHV rules' and the related Britto-Cachazo-Feng `recursion relation' approaches with those using traditional spinor techniques.

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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 0.10 · states limitation 0.25 · human participants 0.01 · controlled comparison 0.32 · randomized assignment 0.01 · states quantitative result 0.39 · compares with prior results 0.96 · 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
Significant progress has been made in the past year in developing new `MHV' techniques for calculating multiparticle scattering amplitudes in Yang-Mills gauge theories. background 1.00 0.05 0.05 asserted 1.00
Most of the work so far has focussed on applications to Quantum Chromodynamics, both at tree and one-loop level. background 0.94 0.05 0.03 asserted 1.00
We show how such techniques can also be applied to abelian theories such as QED, by studying the simplest tree-level multiparticle process, e^+e^- to n \gamma. contribution 1.00 0.91 0.48 asserted 1.00
We compare explicit results for up to n=5 photons using both the Cachazo, Svrcek and Witten `MHV rules' and the related Britto-Cachazo-Feng `recursion relation' approaches with those using traditional spinor techniques. method 0.51 0.90 0.19 asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.60 · evidence from proof or derivation 0.79

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

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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, 3,697 input tokens, $0.0002 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 8 Pith papers

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

  1. Soft Factor Structure of MHV Amplitudes for Massless Charged Particles hep-th · May 2025
  2. Double Parton Scattering Singularity in One-Loop Integrals hep-ph · Mar 2011
  3. On-shell recursion relations for all Born QCD amplitudes hep-ph · Mar 2007
  4. Scattering amplitudes with massive fermions using BCFW recursion hep-ph · Mar 2006
  5. From Trees to Loops and Back hep-th · Oct 2005
  6. Color-dressed recursive relations for multi-parton amplitudes hep-ph · Jul 2006
  7. The SM and NLO multileg working group: Summary report hep-ph · Mar 2010
  8. On-Shell Methods in Perturbative QCD hep-ph · Apr 2007
How the literature uses it

9 arXiv papers cite this in 14 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 · 6 sentences without a confident label

Uses its data or values 1 paper
Compares with it 1 paper
  • These results show that the helicity constraints [ref] can fully fix the kinematics of soft factors sincethey reproduce the results for scalars, photons and gravitons, see [ref] , up to some constant factor $g_st^r_ij$.

    Helicity Constraints To Soft Factor Of All Spin · Discussion · 0.82

Cites it as background 5 papers
  • On the other hand, for QED, which is an Abelian theory, such a method was firstly applied in Ref. [ref] to the process $e^+e^- →nγ$.

    Shifts in BCFW method for QED · Introduction · 0.93

  • The tree-level CSW rules were applied also to amplitudes with massless quarks and scalars in supersymmetric theories [ref] , currents with external $W$ and $Z$ vector bosons or the Higgs boson [ref] and found numerous further applications [ref] .

    Deriving CSW rules for massive scalar legs and pure Yang-Mills loops · Introduction · 0.80

  • Regarding to the deep understanding of the factorization, much works have been done in which such similarity behaviors can be observed in a variety of theories: soft massless scalar [ref] , soft photon [ref] , and soft graviton [ref] ; in a various dimension [ref] , and in various number of soft emissions [ref] .

    Helicity Constraints To Soft Factor Of All Spin · Introduction · 0.83

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