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Sigma meson contribution in the Δ I = 1/2 rule

Presenter: Takumi Doi — University of Kentucky

T. Doi, T. Draper, K.-F. Liu, N. Mathur and J.-B. Zhang

Recent lattice calculation indicates that the sigma meson is mainly a tetraquark mesonium which exists when the quark mass is sufficiently light (i.e. mπ < 300 MeV). This motivates further phenomenological study where the tetraquark sigma meson could play an important role. In this talk, we present the study of the sigma meson contribution to the Δ I = 1/2 rule in K → 2π decay, using quenched overlap fermions. The separation of the resonant sigma meson effect and that of two pion scattering states is discussed.