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Dispersive analysis of the pion transition form factor

Hoferichter, Martin ; Kubis, Bastian ; Leupold, Stefan ; Niecknig, Franz ; Schneider, Sebastian P. (2022):
Dispersive analysis of the pion transition form factor. (Publisher's Version)
In: The European Physical Journal C, 74 (11), Springer, ISSN 1434-6044, e-ISSN 1434-6052,
DOI: 10.26083/tuprints-00012830,

Copyright Information: CC BY 4.0 International - Creative Commons, Attribution.

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Item Type: Article
Origin: Secondary publication
Status: Publisher's Version
Title: Dispersive analysis of the pion transition form factor
Language: English

We analyze the pion transition form factor using dispersion theory. We calculate the singly-virtual form factor in the time-like region based on data for the e⁺e⁻→3π cross section, generalizing previous studies on ω,ϕ→3π decays and γπ→ππ scattering, and verify our result by comparing to e⁺e⁻→π⁰γ data. We perform the analytic continuation to the space-like region, predicting the poorly-constrained space-like transition form factor below 1GeV, and extract the slope of the form factor at vanishing momentum transfer aπ=(30.7±0.6)×10⁻³. We derive the dispersive formalism necessary for the extension of these results to the doubly-virtual case, as required for the pion-pole contribution to hadronic light-by-light scattering in the anomalous magnetic moment of the muon.

Journal or Publication Title: The European Physical Journal C
Volume of the journal: 74
Issue Number: 11
Place of Publication: Darmstadt
Publisher: Springer
Collation: 13 Seiten
Classification DDC: 500 Naturwissenschaften und Mathematik > 530 Physik
Divisions: 05 Department of Physics > Institute of Nuclear Physics
Date Deposited: 02 Mar 2022 13:20
Last Modified: 24 Feb 2023 12:39
DOI: 10.26083/tuprints-00012830
Corresponding Links:
URN: urn:nbn:de:tuda-tuprints-128305
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/12830
PPN: 505273217
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