Pion scattering in Wilson ChPT
| dc.creator | Aoki, Sinya | |
| dc.creator | Bar, Oliver | |
| dc.creator | Biedermann, Benedikt | |
| dc.date | 2008-06-30 | |
| dc.date | 2008-11-07 | |
| dc.date.accessioned | 2026-07-07T13:02:16Z | |
| dc.date.available | 2026-07-07T13:02:16Z | |
| dc.description | 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. | |
| dc.description | 20 pages, 4 figures. V3: Comments on finite size effects and the axial vector current added, one more reference. To be published in PRD | |
| dc.identifier | https://arxiv.org/abs/0806.4863 | |
| dc.identifier | http://arxiv.org/abs/0806.4863 | |
| dc.identifier | Phys.Rev.D78:114501,2008 | |
| dc.identifier | doi:10.1103/PhysRevD.78.114501 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226391 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | Pion scattering in Wilson ChPT | |
| dc.type | text |