Global parameterization of $\pi \pi $ scattering up to 2 ${\mathrm {\,GeV}}$

Pelaez, J.R.; Rodas, A.; Ruiz De Elvira, J.

doi:10.1140/epjc/s10052-019-7509-6

Global parameterization of $\pi \pi$ scattering up to 2 ${\mathrm {\,GeV}}$

Jul 30, 2019

18 pages

Published in:

Eur.Phys.J.C 79 (2019) 12, 1008,
Eur.Phys.J.C 84 (2024) 11, 1220 (erratum)

Published: Dec 13, 2019

e-Print:

1907.13162 [hep-ph]

DOI:

10.1140/epjc/s10052-019-7509-6 (publication),
10.1140/epjc/s10052-024-13589-6 (erratum)

View in:

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Abstract: (Springer)

We provide global parameterizations of

\pi \pi \rightarrow \pi \pi

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

\pi \pi \rightarrow \pi \pi

, both in the real axis up to 1.12

{\mathrm {\,GeV}}

and in the complex plane within their applicability region, while also fulfilling forward dispersion relations up to 1.43

{\mathrm {\,GeV}}

. 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

\sigma /f_0(500)

,

f_0(980)

and

\rho (770)

pole parameters.

Note:

18 pages, 8 figures

partial wave
pi pi: scattering
dispersion relation
parametrization
rho(770)
pole
pi pi --> pi pi
f0(980)
f0(600)

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