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<p>The evaluation of the charge radii, the correction to the Dashen’s theorem, and contributions of the box diagrams for the light-by-light scattering to the magnetic anomaly of the muon from the charged pions, charged kaons and the neutral kaons needs a reliable behaviour of the electromagnetic form factors of the latter particles in the space-like region. Recently with this aim existing experimental data have been used in this region, which, however seem not to be very reliable. Therefor in this paper we utilize a theoretical prediction of electromagnetic form factors of charged pions, kaons and neutral kaons behaviours in the space-like region by means of the Unitary and Analytic models, the parameters of which are fixed from transparent data in time-like region, obtained in the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(e^{+}e^{-}\)</EquationSource> </InlineEquation> annihilation experiments. The resultant charge radii, the correction to the Dashen’s theorem and contributions of the box diagrams for the light-by-light scattering in this way are then compared with results of other authors, in order to reveal to what extent the unreliable experimental behaviours of the corresponding electromagnetic form factors in the space-like region influenced the calculated physical quantities.</p>

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Prediction of Some Meson Physical Quantities by Analytic Continuation from Time-Like to Space-Like Region

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年11月17日

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  • Erik Bartoš,
  • Stanislav Dubnička,
  • Anna Zuzana Dubničková,
  • Lukáš Holka

摘要

The evaluation of the charge radii, the correction to the Dashen’s theorem, and contributions of the box diagrams for the light-by-light scattering to the magnetic anomaly of the muon from the charged pions, charged kaons and the neutral kaons needs a reliable behaviour of the electromagnetic form factors of the latter particles in the space-like region. Recently with this aim existing experimental data have been used in this region, which, however seem not to be very reliable. Therefor in this paper we utilize a theoretical prediction of electromagnetic form factors of charged pions, kaons and neutral kaons behaviours in the space-like region by means of the Unitary and Analytic models, the parameters of which are fixed from transparent data in time-like region, obtained in the \(e^{+}e^{-}\) annihilation experiments. The resultant charge radii, the correction to the Dashen’s theorem and contributions of the box diagrams for the light-by-light scattering in this way are then compared with results of other authors, in order to reveal to what extent the unreliable experimental behaviours of the corresponding electromagnetic form factors in the space-like region influenced the calculated physical quantities.