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.
Highlights
The b-quark system is known to be an excellent place to test the Standard Model (SM) as well as models of New Physics (NP)
We solve the B → πK puzzle by considering the effect of an axionlike particle (ALP) that mixes with the π0 and has mass close to the π0 mass
We show that the ALP can explain the anomalies in the electron and muon anomalous magnetic moments
Summary
The b-quark system is known to be an excellent place to test the Standard Model (SM) as well as models of New Physics (NP). Measurements in the FCNC semileptonic b → slþl− decays have revealed discrepancies with SM predictions. These discrepancies, or anomalies, have been widely studied over most of the last decade. The amplitudes of the four B → πK decays, Bþ → πþK0 (designated as þ0 below), Bþ → π0Kþ (0þ), B0d → π−Kþ (−þ), and B0d → π0K0 (00), are related by a single isospin relationship, In these decays, experiments measure nine observables: the four branching ratios, the four direct CP asymmetries ACP, and the mixing-induced indirect CP asymmetry SCP in B0d → π0K0.
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