Towards an improved understanding of $$\varvec{\eta \rightarrow \gamma ^*\gamma ^*}$$ η → γ ∗ γ ∗
Abstract We argue that high-quality data on the reaction $$e^+e^-\rightarrow \pi ^+\pi ^-\eta $$ e + e - → π + π - η will allow one to determine the doubly-virtual form factor $$\eta \rightarrow \gamma ^*\gamma ^*$$ η → γ ∗ γ ∗ in a model-independent way with controlled accuracy. This is an importan...
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| Autores principales: | , , , , , , , |
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
SpringerOpen
2021
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/c24d9c98afcc46729854564dcf026a6e |
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| Sumario: | Abstract We argue that high-quality data on the reaction $$e^+e^-\rightarrow \pi ^+\pi ^-\eta $$ e + e - → π + π - η will allow one to determine the doubly-virtual form factor $$\eta \rightarrow \gamma ^*\gamma ^*$$ η → γ ∗ γ ∗ in a model-independent way with controlled accuracy. This is an important step towards a reliable evaluation of the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon. When analyzing the existing data for $$e^+e^-\rightarrow \pi ^+\pi ^-\eta $$ e + e - → π + π - η for total energies squared $$k^2>1\,\text {GeV}^2$$ k 2 > 1 GeV 2 , we demonstrate that the effect of the $$a_2$$ a 2 meson provides a natural breaking mechanism for the commonly employed factorization ansatz in the doubly-virtual form factor $$F_{\eta \gamma ^*\gamma ^*}(q^2,k^2)$$ F η γ ∗ γ ∗ ( q 2 , k 2 ) . However, better data are needed to draw firm conclusions. |
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