出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：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(a2), and
we consider the regime where the quark mass m is of order a2L3
QCD. Analytic expressions for
the scattering lengths in different isospin channels are given. As a result of the O(a2) terms
the scattering lengths do not vanish in the chiral limit. Moreover, additional chiral logarithms
proportional to a2 lnM2
p 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.
