On the determination of $σ$ from experimental data on the $ππ$ isoscalar $S$-wave at low energies

Physics – High Energy Physics – High Energy Physics - Phenomenology

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6 pages, talk at SCADRON 70 (Workshop on Scalar Mesons and Related Topics, Lisbon, 11-16 February 2008)

Scientific paper

10.1063/1.2973503

We investigate the determination of the pole associated to $\sigma$ from $\pi\pi$ scattering data below the $K\bar{K}$ threshold, including the new precise data from $K_{e4}$ decay reported recently by the NA48/2 Collaboration. Using a large class of analytic parametrizations based on expansions in powers of conformal variables, we obtain for the mass and width of $\sigma$ values which are consistent with those calculated recently using ChPT and Roy equations, but have larger theoretical uncertainties.

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