Global parameterization of ππ scattering up to 2 GeV

We provide global parameterizations of π π → π π scattering S 0 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 π π → π π , both in the real axis up to 1.12 GeV and in the...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2019-12, Vol.79 (12), p.1008
Main Authors: Pelaez, J. R., Rodas, A., Ruiz de Elvira, J.
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Datasets
Elementary Particles
Energy
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Parameterization
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Scattering
String Theory
Theoretical physics
Uncertainty analysis
Wave dispersion
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Description
Summary:We provide global parameterizations of π π → π π scattering S 0 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 π π → π π , both in the real axis up to 1.12 GeV and in the complex plane within their applicability region, while also fulfilling forward dispersion relations up to 1.43 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 σ / f 0 ( 500 ) , f 0 ( 980 ) and ρ ( 770 ) pole parameters.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-019-7509-6