Excited-state contribution to the axial-vector and pseudo-scalar correlators with two extra pions

Abstract

We study multi-particle state contributions to the QCD two-point functions of the axial-vector and pseudo-scalar quark bilinears in a finite spatial volume. For sufficiently small quark masses one expects three-meson states with two additional pions at rest to have the lowest total energy after the ground state. We calculate this three-meson state contribution using chiral perturbation theory. We find it to be strongly suppressed and too small to be seen in present-day lattice simulations.

17 pages, 5 figures

References in corpus (3)

• Ab-initio Determination of Light Hadron Masses
• Toward the excited meson spectrum of dynamical QCD
• The strange quark mass and Lambda parameter of two flavor QCD

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