Isotropic and Anisotropic Lattice Spacing Corrections for I=2 pi-pi Scattering from Effective Field Theory
arXiv:0802.2931 · doi:10.1103/PhysRevD.77.114502
Abstract
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.
arXiv comment15 pages, additional discussion of pion decay constant, version published in PRD
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Cited by in corpus (8)
- FLAG Review 2019
- FLAG Review 2021
- The I=2 pipi S-wave Scattering Phase Shift from Lattice QCD
- Pion Scattering in Wilson Chiral Perturbation Theory
- Pion scattering in Wilson ChPT
- pi-pi Scattering in Twisted Mass Chiral Perturbation Theory
- Hadronic interactions and nuclear physics
- Topics in Lattice QCD and Effective Field Theory