Abstract

Within mixed-action chiral perturbation theory (MAχPT), Sasa's derivation of the bubble contribution to scalar a0 meson is extended to those of scalar κ and σ mesons. We revealed that the κ bubble has two double poles and the σ bubble contains a quadratic-in-t2 growth factor stemming from the multiplication of two double poles for a general mass tuning of valence quarks and sea quarks. The corresponding preliminary analytical expressions in MAχPT with 2+1 chiral valence quarks and 2+1 staggered sea quarks will be helpful for lattice studies of scalar mesons.

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