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arXiv · 1307.5654

Dispersive analysis for $η\to γγ^*$

C. Hanhart·A. Kupsc·U. -G. Meißner·F. Stollenwerk·A. Wirzba
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Abstract

A dispersion integral is derived that connects data on $η\to π^+π^-γ$ to the $η\to γγ^*$ transition form factor. A detailed analysis of the uncertainties is provided. We find for the slope of the $η$ transition form factor at the origin $b_η= (2.05 {}^{+0.22}_{-0.10})\, {\rm GeV}^{-2}$. Using an additional, plausible assumption, one finds for the corresponding slope of the $η'$ transition form factor, $b_{η'} = (1.58 {}^{+0.15}_{-0.08})\, {\rm GeV}^{-2}$. Both values are consistent with all recent data, but differ from some previous theoretical analyses.

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C. Hanhart, A. Kupsc, U. -G. Meißner, F. Stollenwerk, A. Wirzba. 2013-11-27. Dispersive analysis for $η\to γγ^*$. https://doi.org/10.1140/epjc%2Fs10052-013-2668-3

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