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Hint for a minimal interaction length in $e^+e^-\to\gamma\gamma$ annihilation in total cross section of centre-of-mass energies 55-207 GeV
High Energy Physics - Experiment · Submitted 9 Dec 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The experimental data of the total cross section compared to the QED cross section of a $ \chi^{2} $ test allows, to set limit on a finite interaction length $ r_{e}=(1.25\pm 0.16) \times 10 ^{-17} [cm] $.
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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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The abstract, sentence by sentence
The measurements of the total cross section of the $ e^+e^-\to\gamma\gamma$ reaction from the VENUS, TOPAS, OPAL, DELPHI, ALEPH and L3 collaborations, collected between 1989 to 2003, are used to perform a $ \chi^{2} $ test to search for a finite interaction length in direct contact term. The experimental data of the total cross section compared to the QED cross section of a $ \chi^{2} $ test allows, to set limit on a finite interaction length $ r_{e}=(1.25\pm 0.16) \times 10 ^{-17} [cm] $. In the direct contact term annihilation is this interaction lengths a measure for the size of the electron.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The measurements of the total cross section of the $ e^+e^-\to\gamma\gamma$ reaction from the VENUS, TOPAS, OPAL, DELPHI, ALEPH and L3 collaborations, collected between 1989 to 2003, are used to perform a $ \chi^{2} $ test to search for a finite interaction length in direct contact term. | method 0.93 | 0.71 | 0.06 | asserted 0.96 |
| s1 | The experimental data of the total cross section compared to the QED cross section of a $ \chi^{2} $ test allows, to set limit on a finite interaction length $ r_{e}=(1.25\pm 0.16) \times 10 ^{-17} [cm] $. | result 1.00 | 0.83 | 0.85 | asserted 0.91 |
| s2 | In the direct contact term annihilation is this interaction lengths a measure for the size of the electron. | interpretation 0.96 | 0.26 | 0.15 | asserted 1.00 |
What was examined, and what was not
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The paper
Original abstract
The measurements of the total cross section of the $ e^+e^-\to\gamma\gamma$ reaction from the VENUS, TOPAS, OPAL, DELPHI, ALEPH and L3 collaborations, collected between 1989 to 2003, are used to perform a $ \chi^{2} $ test to search for a finite interaction length in direct contact term. The experimental data of the total cross section compared to the QED cross section of a $ \chi^{2} $ test allows, to set limit on a finite interaction length $ r_{e}=(1.25\pm 0.16) \times 10 ^{-17} [cm] $. In the direct contact term annihilation is this interaction lengths a measure for the size of the electron.
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How the literature uses it
1 arXiv paper cite this in 4 sentences
Papers citing it · 2 sentences without a confident label
Uses its method or tool 1 paper
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Therefore, we choose to use a benchmark L3 detector and normalize the total cross sections measured by other detectors with respect to that of L3, along with the corresponding number of events, as described in [ref] in details.
Possible Manifestation of a Non-Pointness of the Electron in $e^+e^-$ Annihilation Reaction at Centre of Mass Energies 55-207 GeV · Indication of a signal in the total cross section · 0.88
Uses its data or values 1 paper
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The processed numerical values, initially obtained in [ref] , are listed in Table [ref] and displayed in Fig. [ref].
Possible Manifestation of a Non-Pointness of the Electron in $e^+e^-$ Annihilation Reaction at Centre of Mass Energies 55-207 GeV · Indication of a signal in the total cross section · 0.95
What it cites · 11 sentences without a confident label
Uses the method or tool of 1 paper
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After equation 17 in [ref] is the p - value $p = P(T<T_obs|l)$ ( [ref] ).
A Test Statistic for Weighted Runs · Equations for the calculation of the significance of a $χ^2$ test. · 0.87
Compares with 1 paper
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It is interesting to notice that in [ref] , the $χ^2$ test shows also a negative $(1/Λ)^4 [GeV^-4] = - ( 4.05 ±0.73 )×10^-13$ similar to the $χ^2$ tests of the total cross section, but with a significance of $σ= 5.5$ [ref] ( Table [ref] ).
Experimental and Theoretical Evidence for Extended Particle Models · Conclusion of the four different numerical calculations of the $χ^2$ tests. · 0.89
Cites as background 1 paper
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In quantum field theory, a particle is assumed to be point-like, and classical models of point-like spinning particles describe them by various generalisations of the classical Lagrangian $(-mc√(ẋẋ))$ [ref] .
On the model of a classical relativistic particle of constant and universal mass and spin · Introduction · 0.99
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