Bubble contributions to scalar correlators with mixed actions

  • Within mixed-action chiral perturbation theory (MAχPT), Sasa's derivation of the bubble contribution to scalar a0 meson is extended to those of scalar k and σ mesons. We revealed that the k 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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FU Zi-Wen. Bubble contributions to scalar correlators with mixed actions[J]. Chinese Physics C, 2014, 38(6): 063102. doi: 10.1088/1674-1137/38/6/063102
FU Zi-Wen. Bubble contributions to scalar correlators with mixed actions[J]. Chinese Physics C, 2014, 38(6): 063102.  doi: 10.1088/1674-1137/38/6/063102 shu
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Received: 2013-07-22
Revised: 1900-01-01
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Bubble contributions to scalar correlators with mixed actions

    Corresponding author: FU Zi-Wen,

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 k and σ mesons. We revealed that the k 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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