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Quark Flavor Physics Review

I review the status of lattice-QCD calculations relevant to quark flavor physics. The recent availability of physical-mass ensembles with large physical volumes generated by a growing number of lattice collaborations is an exciting development and I discuss their impact on the landscape of lattice flavor physics calculations. The activities of the newly formed FLAG-2 collaboration which provides averages of quantities calculated in lattice QCD that are relevant for quark flavor physics are also discussed. My talk covers (a subset of) the same quantities reviewed by FLAG-2, including results for $K$, $D_{(s)}$, and $B_{(s)}$ meson decay constants and semileptonic decay form factors, as well as for hadronic matrix elements of neutral ($K$, $D$, and $B_{(s)}$) meson mixing. I also briefly discuss recent progress towards understanding nonleptonic $K$ decay and long-distance contributions to $Δm_K$.