[Submitted on 29 Jun 2022] (cross-list from hep-ph)
The f0(1370) controversy from dispersive meson-meson scattering data analyses
Jose Ramon Pelaez🇪🇸 · Arkaitz Rodas🇺🇸 · Jacobo Ruiz de Elvira🇪🇸
We establish the existence of the long-debated resonance in the dispersive analyses of meson-meson scattering data. For this, we present a novel approach using forward dispersion relations, valid for generic inelastic resonances. We find its pole at MeV in scattering. We also provide the couplings as well as further checks extrapolating partial-wave dispersion relations or with other continuation methods. A pole at MeV also appears in the data analysis with partial-wave dispersion relations. Despite settling its existence, our model-independent dispersive and analytic methods still show a lingering tension between pole parameters from the and channels that should be attributed to data.
- Comments:
- 13 pages, 8 figures. v2 version: improved results for the f0(1370) pole determination in the pipi to KKbar channel, minor amendments, appendices expanded
- Subjects:
- High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Experiment (hep-ex); High Energy Physics — Lattice (hep-lat); Nuclear Theory (nucl-th)
- arXiv:
- 2206.14822 [pdf]