$$\eta ^{\prime }\rightarrow \eta \pi \pi $$ η ′ → η π π decays in unitarized resonance chiral theory

Abstract

We study the hadronic η → ηππ decays within the framework of U (3) L ⊗ U (3) R Chiral Perturbation Theory including resonance states and the complete one-loop corrections. The amplitude is projected in partial waves and unitarized by means of the N /D method resumming both the important Sand D-wave ππ and the subleading Swave πη final-state interactions. The participating scalar multiplet mass and coupling strengths are determined from fits to the Dalitz plot experimental data recently released by the A2 collaboration. As a byproduct of our analysis, the associated Dalitz-plot slope parameters are found to be a = − 0.072(7) stat (8) syst , b = − 0.052(1) stat (2) syst , d = − 0.051(8) stat (6) syst , which lie in the ballpark of the current experimental and theoretical determinations.

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