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Dispersive analysis of the pion transition form factor
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Nuclear Physics.
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2014 (English)In: European Physical Journal C, ISSN 1434-6044, E-ISSN 1434-6052, Vol. 74, no 11, 3180- p.Article in journal (Refereed) Published
Abstract [en]

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(-) -> 3 pi cross section, generalizing previous studies on omega, phi -> 3 pi decays and gamma pi -> pi pi scattering, and verify our result by comparing to e(+) e(-) -> pi(0)gamma. 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 a(pi) = (30.7 +/- 0.6) x10(-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.

Place, publisher, year, edition, pages
2014. Vol. 74, no 11, 3180- p.
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Physical Sciences
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URN: urn:nbn:se:uu:diva-243067DOI: 10.1140/epjc/s10052-014-3180-0ISI: 000347180200001OAI: oai:DiVA.org:uu-243067DiVA: diva2:787210
Available from: 2015-02-09 Created: 2015-02-04 Last updated: 2017-12-04Bibliographically approved

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Leupold, Stefan

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