In this paper we present the fit to the recent high-statistical KLOE data on the φ → ηπ 0 γ decay. This decay mainly goes through the a 0 γ intermediate state. The obtained results differ from those of the previous fits: data prefer a high a 0 mass and a considerably large a 0 coupling to the KK.

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For the first time, as far as we know, in field theory are found explicit forms of propagators satisfying the K\"allen -- Lehmann representation. To be exact, it is shown that scalar meson propagators, taking into account a virtual intermediate state contribution to the resonance self-energy, satisfy the K\"allen -- Lehmann representation in the wide domain of coupling constants of the light scalar mesons with the two-particle states. It is proposed to use these propagators in routine fitting data about light scalar mesons to reveal physics underlying the light scalar mesons.Comment: 9 page

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