Speaker
Description
We establish the existence of the long-debated $f_0(1370)$ 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 $(1245\pm40)−i (300−70+30)$ MeV in ππ->ππ scattering. We also provide the couplings as well as further checks extrapolating partial-wave dispersion relations or with other continuation methods. A pole at
$(1380−60+70)−i (220−70+80)$ MeV also appears in the $ππ\to K\bar K$ data analysis with partial-wave dispersion relations. Despite settling its existence in meson-meson scattering, our model-independent dispersive and analytic methods still show a lingering tension between pole parameters from the $ππ\to ππ$ and $ππ\to K\bar K$ channels that should be attributed to data
