Home > Publications database > Pascalutsa-Vanderhaeghen light-by-light sum rule from photon-photon collisions |
Journal Article | FZJ-2018-00592 |
;
2017
Inst.
Woodbury, NY
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Please use a persistent id in citations: http://hdl.handle.net/2128/17009 doi:10.1103/PhysRevD.95.056007
Abstract: Light-by-light scattering sumrules based on general field theory principles relate cross-sections with different helicities. In this paper the simplest sumrule is tested for the $I=0$ and $2$ channels for 'real' photon-photon collisions. Important contributions come from the long-lived pseudoscalar mesons and from di-meson intermediate states. The latest Amplitude Analysis of $\gamma\gamma\to\pi\pi, \overline{K}K$ allows this contribution to be evaluated. However, we find that other multi-meson contributions up to 2.5 GeV are required to satisfy the sumrules. While data on three and four pion cross-sections exist, there is no information about their isospin and helicity decomposition. Nevertheless, we show the measured cross-sections are sufficiently large to ensure the sumrules for the helicity differences are likely fulfilled.
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