Bubble contributions to scalar correlators with mixed actions

WWithin mixed-action chiral perturbation theory (MA$χ$PT), Sasa's derivation of the bubble contribution to scalar $a_0$ meson is extended to those of scalar $κ$ and $σ$ mesons. We revealed that $κ$ bubble has two double poles and $σ$ bubble contains a quadratic-in-$t^2$ 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 MA$χ$PT with 2+1 chiral valence quarks and 2+1 staggered sea quarks will be helpful for lattice studies of scalar mesons.

No reviews yet.

No comments yet.