Global parameterization of scattering up to 2

We provide global parameterizations of $$ scattering S0 and P partial waves up to roughly 2 GeV for phenomenological use. These parameterizations describe the output and uncertainties of previous partial-wave dispersive analyses of $$ , both in the real axis up to 1.12 $$ and in the complex plane within their applicability region, while also fulfilling forward dispersion relations up to 1.43 $$ . Above that energy we just describe the available experimental data. Moreover, the analytic continuations of these global parameterizations also describe accurately the dispersive determinations of the $$ , $$ and $$ pole parameters.