[Submitted on 24 Jul 2020] (cross-list from hep-ph)
Hadronic vacuum polarization and vector-meson resonance parameters from
Bai-Long Hoid🇩🇪 · Martin Hoferichter🇨🇭 · Bastian Kubis🇩🇪
We study the reaction based on a dispersive representation of the underlying transition form factor. As a first application, we evaluate the contribution of the channel to the hadronic-vacuum-polarization correction to the anomalous magnetic moment of the muon. We find , in line with evaluations from the direct integration of the data. Second, our fit determines the resonance parameters of and . We observe good agreement with the channel, explaining a previous tension in the mass between and by an unphysical phase in the fit function. Combining both channels we find and for the masses including vacuum-polarization corrections. The mass agrees perfectly with the PDG average, which is dominated by determinations from the channel, demonstrating consistency with and . For the mass, our result is consistent but more precise, exacerbating tensions with the mass extracted via isospin-breaking effects from the channel.
- Comments:
- 10 pages, 2 figures; version published in EPJC
- Subjects:
- High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Experiment (hep-ex); High Energy Physics — Lattice (hep-lat); Nuclear Theory (nucl-th)
- arXiv:
- 2007.12696 [pdf]