The "$B\to K\ddot{I}€$ puzzle": A New Perspective

Abstract

A phenomenological analysis based on the published branching fractions and $CP$ asymmetry observables of the $B\to K\ddot{I}€$, $B\to \ddot{I}€\ddot{I}€$ and $B\to KK$ dataset is performed. The amplitude decomposition by the topological diagrams and the $SU(3)$ irreducible representation is used. The result of the global fit can be interpreted as a solution to the ``$B\to K\ddot{I}€$ puzzle''. The obtained precision enables to test a $SU(3)$-based sum rule showing $6\ddot{I}ƒ$ discrepancy with the expectation value in the Standard Model scenario. To improve the obtained results the main effort should concentrate on the $B^0\to K^0\ddot{I}{€}^0$ measurements.

11 pages, 3 figures, 5 tables