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.