TL;DR
This paper proposes NNLO approximations for chiral SU(3) amplitudes to improve lattice data extrapolation to physical meson masses, aiding convergence analysis and low-energy constant determination.
Contribution
It introduces simplified NNLO approximations for chiral SU(3) amplitudes, enabling better extrapolation and analysis of lattice QCD data.
Findings
NNLO approximations successfully fit lattice data for F_K/F_pi
Inclusion of NNLO terms improves convergence analysis
Provides a method for more accurate low-energy constant extraction
Abstract
Approximations of chiral SU(3) amplitudes at NNLO are proposed to facilitate the extrapolation of lattice data to the physical meson masses. Inclusion of NNLO terms is essential for investigating convergence properties of chiral SU(3) and for determining low-energy constants in a controllable fashion. The approximations are tested with recent lattice data for the ratio of decay constants F_K/F_pi.
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