Pion Scattering in Wilson Chiral Perturbation Theory
arXiv:0809.0412 · doi:10.1103/PhysRevD.78.114501
Abstract
We compute the scattering amplitude in Wilson Chiral Perturbation Theory for two flavors. The lattice spacing effects due to the explicit chiral symmetry breaking are kept through O(a^2), and we consider the regime where the quark mass m is of order a^2 Lambda_^3. Analytic expressions for the scattering lengths in different isospin channels are given. As a result of the O(a^2) terms the scattering lengths do not vanish in the chiral limit. Moreover, additional chiral logarithms proportional to a^2 ln M_pi^2 are present in the one-loop results. These contributions can obscure the continuum chiral logarithms and the determination of low-energy constants from numerical lattice simulations.
7 pages, 3 figures; poster presented at the XXVI International Symposium on Lattice Field Theory, July 14-19 2008, Williamsburg, Virginia, USA
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- Determining low-energy constants in partially quenched Wilson chiral perturbation theory
- pi-pi Scattering in Twisted Mass Chiral Perturbation Theory
- Vector and Axial Currents in Wilson Chiral Perturbation Theory
- Charmless chiral perturbation theory for N_f=2+1+1 twisted mass lattice QCD
- Hadronic interactions and nuclear physics
- Topics in Lattice QCD and Effective Field Theory
- Wilson chiral perturbation theory for dynamical twisted mass fermions vs lattice data - a case study
- The kaon mass in 2+1+1 flavor twisted mass Wilson ChPT