We compute non-perturbative renormalization constants of fermionic bilinears for the chirally improved lattice fermions in the quenched approximation of QCD. We address finite size effects and the influence of Gribov copies. Our results are presented in the RI' and MS schemes as well as in RGI form and we discuss relations between the renormalization constants implied by chiral symmetry. After publication we corrected the numerator of the first coefficient of α 3 s in (24) from 3696847 to 3890527, which yields a 0.2% higher value of the conversion coefficient at µ = 2 GeV.

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 fπ = 96(2)(4) MeV, fK = 106(1)(8) MeV, fK/fπ = 1.11(1)(2), Σ = −(286(4)(31) MeV) 3 , the average light quark mass m = 4.1(2.4) MeV and ms = 101(8) MeV.

Non-perturbative renormalization factors of bilinear quark operators are computed for the Chirally Improved lattice action with two dynamic quarks. The analysis is based on five different parameter sets with lattice size 12 3 × 24 and four parameter sets with lattice size 16 3 × 32. For the pseudoscalar renormalization factor the pion pole contribution is subtracted and chiral extrapolations are performed. Results are given in RI'-and MS-scheme as well as in RGI-form.

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