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arXiv · 2412.15327

Global parametrizations of $\pi\pi$ scattering with dispersive constraints: Beyond the S0 wave

J. R. Peláez·P. Rabán·J. Ruiz de Elvira
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Abstract

We provide new global parametrizations of $\pi\pi \to \pi\pi$ scattering for the S2, P, D, F, and G partial waves up to at least 1.8 GeV, easy to implement for phenomenological use. With earlier S0-wave parametrizations, slightly updated here, they reproduce previous partial wave dispersion analyses up to the $\pi\omega$ threshold. In addition, these new parametrizations have improved their description of recent P-wave data, the inelasticity in various waves, and their fulfillment of Roy-like and forward dispersion relations. The latter now test very high partial waves and have an improved matching with the Regge regime, extending those with P-wave contributions up to 1.6 GeV. Above 1.6 GeV and up to 1.8 GeV, or sometimes somewhat beyond, the parametrizations are simple unconstrained fits to data.

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J. R. Peláez, P. Rabán, J. Ruiz de Elvira. 2024-12-19. Global parametrizations of $\pi\pi$ scattering with dispersive constraints: Beyond the S0 wave. https://doi.org/10.1103/physrevd.111.074003

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