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@ARTICLE{Holz:907692,
author = {Holz, Simon and Hanhart, Christoph and Hoferichter, Martin
and Kubis, Bastian},
title = {{A} dispersive analysis of ${\eta '\rightarrow \pi ^+\pi
^-\gamma }$ and ${\eta '\rightarrow \ell ^+\ell ^-\gamma }$},
journal = {The European physical journal / C},
volume = {82},
number = {5},
issn = {1434-6044},
address = {Heidelberg},
publisher = {Springer},
reportid = {FZJ-2022-02163},
pages = {434},
year = {2022},
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.},
cin = {IAS-4 / IKP-3},
ddc = {530},
cid = {I:(DE-Juel1)IAS-4-20090406 / I:(DE-Juel1)IKP-3-20111104},
pnm = {5111 - Domain-Specific Simulation Data Life Cycle Labs
(SDLs) and Research Groups (POF4-511) / DFG project
196253076 - TRR 110: Symmetrien und Strukturbildung in der
Quantenchromodynamik (196253076)},
pid = {G:(DE-HGF)POF4-5111 / G:(GEPRIS)196253076},
typ = {PUB:(DE-HGF)16},
pubmed = {35578684},
UT = {WOS:000794907700004},
doi = {10.1140/epjc/s10052-022-10247-7},
url = {https://juser.fz-juelich.de/record/907692},
}