We also use our formalism to self-consistently probe the behavior of the (asymptotic) chiral expansion as a function of the quark masses by repeating the fits with different subsets of the data. These fits determine a subset of the low energy constants of chiral perturbation theory - in some cases with increased precision, and in other cases for the first time - which, once determined, can be used to compute other observables and amplitudes in chiPT. The first two papers concern global fits of the quark mass, lattice spacing, and finite volume dependence of the pseudoscalar meson masses and decay constants, computed in a series of lattice QCD simulations, to partially quenched SU(2) and SU(3) chiral perturbation theory (chiPT). These results are arranged into four self-contained papers. In this thesis we present three distinct contributions to the study of light flavor physics using the techniques of lattice QCD. Precision Light Flavor Physics from Lattice QCD
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