Axion-like particles resolve the $B\to \pi K$ and g-2 anomalies

We offer a new solution to an old puzzle in the penguin-dominated $B\to \pi K$ decays. The puzzle is the inconsistency among the measurements of the branching ratios and CP asymmetries of the four $B\to \pi K$ decays: $B^{+}\to {\pi }^{+}{K}^0$, $B^{+}\to {\pi }^0{K}^{+}$, $B_d^0\to {\pi }^{-}{K}^{+}$, $B_d^0\to {\pi }^0{K}^0$. We solve the $B\to \pi K$ puzzle by considering the effect of an axion-like particle (ALP) that mixes with the ${\pi }^0$ and has mass close to the ${\pi }^0$ mass. We show that the ALP can also explain the anomalies in the electron and muon anomalous magnetic moments.