Isotropic and Anisotropic Lattice Spacing Corrections for I=2 pi-pi Scattering from Effective Field Theory

Understand

The calculation of the finite lattice spacing corrections for I=2 pi-pi scattering is carried out for isotropic and anisotropic Wilson lattice actions.

• Pion masses and decay constants are also determined in this context.
• These results correct the phase shift calculated from the lattice, which is connected to the scattering length and effective range in this low energy scattering process.
• When in terms of the lattice-physical parameters for either Wilson action, these lattice spacing effects first appear at the next-to-leading order counter-terms.