Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2008-06-30
Phys.Rev.D78:114501,2008
Physics
High Energy Physics
High Energy Physics - Lattice
20 pages, 4 figures. V3: Comments on finite size effects and the axial vector current added, one more reference. To be publish
Scientific paper
10.1103/PhysRevD.78.114501
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) a\Lambda_QCD^2 and (ii) a^2\Lambda_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_{\pi}^2 are present in the one-loop results for regime (ii). These contributions significantly modify the familiar results from continuum chiral perturbation theory.
Aoki Sinya
Bar Oliver
Biedermann Benedikt
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