Comparison of Lattice and Chiral Perturbation Theory calculations of pion scattering lengths

Abstract

I compare the lattice calculation of Fukugita et al. for the pion S-wave scattering lengths to the predictions of Chiral Perturbation Theory to two loop accuracy. I find good agreement, despite the use of the quenched approximation in the lattice calculation.

arXiv commentPlain Latex, 7 pages, 2 figures

References in corpus (6)

• Chiral Perturbation Theory for the Quenched Approximation of QCD
• Elastic $\pi \pi$ scattering to two loops
• Hadron Scattering Lengths in Lattice QCD
• $I=2$ pion scattering amplitude with Wilson fermions
• Finite-volume two-pion energies and scattering in the quenched approximation
• Chiral Perturbation Theory on the Lattice; Strong Coupling Expansion

Cited by in corpus (5)

• ππscattering
• Non-lattice determinations of the light quark masses
• Chiral symmetry
• Pion loops in quenched Quantum Chromodynamics
• Pion-pion and pion-nucleon interactions in chiral perturbation theory