The f0(1370) controversy from dispersive meson-meson scattering data analyses

Abstract

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 $(1245\pm 40)-i(300_{-70}^{+30})$ MeV in $\pi \pi$ 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 $\pi \pi \to K\bar{K}$ 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 $\pi \pi$ and $K\bar{K}$ channels that should be attributed to data.

13 pages, 8 figures. v2 version: improved results for the f0(1370) pole determination in the pipi to KKbar channel, minor amendments, appendices expanded

References in corpus (15)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• The pion-pion scattering amplitude. IV: Improved analysis with once subtracted Roy-like equations up to 1100 MeV
• The Status of Glueballs
• The K^*_0(800) scalar resonance from Roy-Steiner representations of pi K scattering
• Identification of a Scalar Glueball
• The pion-pion scattering amplitude. III: Improving the analysis with forward dispersion relations and Roy equations
• Experimental status of the $\pi \pi$ isoscalar S wave at low energy: $f_0(600)$ pole and scattering length
• Scalar isoscalar mesons and the scalar glueball from radiative $J/\psi$ decays
• A Study in Depth of f0(1370)
• Finding the sigma pole by analytic extrapolation of $\pi \pi$ scattering data
• Large-$N_c$ naturalness in coupled-channel meson-meson scattering
• Strange resonance poles from $K\pi$ scattering below 1.8 GeV
• Precise determination of resonance pole parameters through Padé approximants
• Pole positions and residues from pion photoproduction using the Laurent+Pietarinen expansion method
• Pole structure from energy-dependent and single-energy fits to $\pi N$ elastic scattering data

Cited by in corpus (9)

• 50 Years of Quantum Chromodynamics
• Final-state interactions in the CP asymmetries of charm-meson two-body decays
• Nucleon resonance parameters from Roy-Steiner equations
• Global parametrizations of $\pi \pi$ scattering with dispersive constraints: Beyond the S0 wave
• Note on the definitions of branching ratios of overlapping resonances
• Dispersive $\pi \pi \to K\bar{K}$ amplitude and giant CP violation in B to three light-meson decays at LHCb
• $S$-wave contribution to rare $D^0\to {\pi }^{+}{\pi }^{-}{\ell }^{+}{\ell }^{-}$ decays in the Standard Model and sensitivity to New Physics
• Prospects for ${\gamma }^{\star }{\gamma }^{\star }\to \pi \pi$ via lattice QCD
• Dispersive determination of resonances from $\pi \pi$ scattering data