@article{oai:tsukuba.repo.nii.ac.jp:00017390, author = {青木, 愼也 and Aoki, Sinya and Bar, Oliver and Biedermann, Benedikt}, issue = {11}, journal = {Physical review D}, month = {Dec}, note = {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) aLambdaQCD2 and (ii) a2LambdaQCD3. Analytic expressions for the scattering lengths in all three isospin channels are given. As a result of the O(a2) terms the I=0 and I=2 scattering lengths do not vanish in the chiral limit. Moreover, additional chiral logarithms proportional to a2lnMpi2 are present in the one-loop results for regime (ii). These contributions significantly modify the familiar results from continuum chiral perturbation theory.}, title = {Pion scattering in Wilson chiral perturbation theory}, volume = {78}, year = {2008} }