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

Abstract

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