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| Hauptseite > Publikationsdatenbank > A dispersive analysis of ${\eta '\rightarrow \pi ^+\pi ^-\gamma }$ and ${\eta '\rightarrow \ell ^+\ell ^-\gamma }$ |
| Hauptseite > Publikationsdatenbank > A dispersive analysis of ${\eta '\rightarrow \pi ^+\pi ^-\gamma }$ and ${\eta '\rightarrow \ell ^+\ell ^-\gamma }$ |
| Journal Article | FZJ-2022-02163 |
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2022
Springer
Heidelberg
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Please use a persistent id in citations: http://hdl.handle.net/2128/31228 doi:10.1140/epjc/s10052-022-10247-7
Abstract: We present a dispersive representation of the η′ transition form factor that allows one to account, in a consistent way, for the effects of ρ–ω mixing in both the isoscalar and the isovector contributions. Using this formalism, we analyze recent data on η′→π+π−γ to constrain the isovector part of the form factor, individually and in combination with data for the pion vector form factor, which suggests a tension in the ρ–ω mixing parameter. As a first application, we use our results, in combination with the most recent input for the isoscalar part of the form factor, to predict the corresponding spectrum of η′→ℓ+ℓ−γ, in particular we find the slope parameter bη′=1.455(24)GeV−2. With forthcoming data on the latter process, our results establish the necessary framework to improve the evaluation of the η′-pole contribution to the anomalous magnetic moment of the muon using experimental input from both η′ decay channels.
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