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Precision dispersive approaches versus unitarized Chiral Perturbation Theory for the lightest scalar resonances σ/f₀(500) and kappa/K₀^*(700)

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arxiv 2101.06506 v2 pith:MWDKBV6O submitted 2021-01-16 hep-ph

Precision dispersive approaches versus unitarized Chiral Perturbation Theory for the lightest scalar resonances σ/f₀(500) and kappa/K₀^*(700)

classification hep-ph
keywords chiralkappasigmadispersiveexistencelightestlong-standingparameters
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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For several decades, the $\sigma/f_0(500)$ and $\kappa/K_0^*(700)$ resonances have been subject to long-standing debate. Both their existence and properties were controversial until very recently. In this tutorial review we compare model-independent dispersive and analytic techniques versus unitarized Chiral Perturbation Theory, when applied to the lightest scalar mesons $\sigma/f_0(500)$ and $\kappa/K_0^*(700)$. Generically, the former have settled the long-standing controversy about the existence of these states, providing a precise determination of their parameters, whereas unitarization of chiral effective theories allows us to understand their nature, spectroscopic classification and dependence on QCD parameters. Here we review in a pedagogical way their uses, advantages and caveats.

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