Axionlike particles resolve the B→πK and g−2 anomalies

Abstract

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