Finite-size scaling for the left-current correlator with non-degenerate quark masses

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We study the volume dependence of the left-current correlator with non-degenerate quark masses to next-to-leading order in the chiral expansion. We consider three possible regimes: all quark masses are in the ε-regime, all are in the p-regime and a mixed-regime where the lighest quark masses satisfy mᵥ ΣV ≤ 1 while the heavier mₛ ΣV ≫ 1. These results can be used to match lattice QCD and the Chiral Effective Theory in a large but finite box in which the Compton wavelength of the lightest pions is of the order of the box size. We consider both the full and partially-quenched results.