Pion scattering in Wilson ChPT

Abstract

We compute the scattering amplitude for pion scattering in Wilson chiral perturbation theory for two degenerate quark flavors. We consider two different regimes where the quark mass m is of order (i) aΛ_QCD^2 and (ii) a^2Λ_QCD^3. Analytic expressions for the scattering lengths in all three isospin channels are given. As a result of the O(a^2) terms the I=0 and I=2 scattering lengths do not vanish in the chiral limit. Moreover, additional chiral logarithms proportional to a^2\ln M_π^2 are present in the one-loop results for regime (ii). These contributions significantly modify the familiar results from continuum chiral perturbation theory.

20 pages, 4 figures. V3: Comments on finite size effects and the axial vector current added, one more reference. To be published in PRD

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Cited by in corpus (14)

• FLAG Review 2019
• FLAG Review 2021
• Scattering lengths for two pseudoscalar meson systems
• Nuclear Reactions from Lattice QCD
• Determination of Low-Energy Constants of Wilson Chiral Perturbation Theory
• Chiral logs in twisted mass lattice QCD with large isospin breaking
• 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