Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2008-09-02
PoS LATTICE2008:078,2008
Physics
High Energy Physics
High Energy Physics - Lattice
7 pages, 3 figures; poster presented at the XXVI International Symposium on Lattice Field Theory, July 14-19 2008, Williamsbur
Scientific paper
10.1103/PhysRevD.78.114501
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(a^2), and we consider the regime where the quark mass m is of order a^2 Lambda_^3. Analytic expressions for the scattering lengths in different isospin channels are given. As a result of the O(a^2) terms the 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. These contributions can obscure the continuum chiral logarithms and the determination of low-energy constants from numerical lattice simulations.
Aoki Sinya
Bar Oliver
Biedermann Benedikt
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