Lattice calculation of low energy constants with Ginsparg-Wilson type   fermions
  We present a quenched lattice calculation of low energy constants using the chirally improved Dirac operator. Several lattice sizes at different lattice spacings are studied. We systematically compare various methods for computing these quantities, using pseudoscalar and axial vector correlators. We find consistent results for the different approaches, giving rise to f_\pi = 96(2)(4) MeV, f_K = 106(1)(8) MeV, f_K/f_\pi=1.11(1)(2), Sigma= -(286(4)(31) MeV)^3, the average light quark mass m = 4.1(2.4) MeV and m_s = 101(8) MeV. 
Christof Gattringer, Philipp Huber, and C. B. Lang