$B\to Kη,Kη^{\prime}$ Decays
Abstract
Description
The nonet symmetry scheme seems to describe rather well the masses and $η-η^{\prime}$ mixing angle of the ground state pseudo-scalar mesons and is thus expected to be also a good approximation for the matrix elements of the pseudo-scalar density operators which play an important role in charmless two-body B decays with $η$ or $η^{\prime}$ in the final state. In this talk, I would like to report on a recent work on the $B^{-}\to K^{-}η, K^{-}η^{\prime}$ decay using nonet symmetry for the matrix elements of pseudo-scalar density operators. We find that the branching ratio $B\to PP$, with an $η$ meson in the final state agrees well with data, while those with an $η^{\prime}$ meson are underestimated by $20-30%$. This could be considered as a more or less successful prediction for QCDF, considering the theoretical uncertainties involved. This could also indicate that an additional power-suppressed terms could bring the branching ratio close to experiment, as with the $B\to K^{*}π$ and $B\to K^{*}η$ decay for which the measured branching ratios are much bigger than the QCDF predictions.
Talk given at QCD08, the 14th International QCD Conference, 7-12th July 2008, Montpellier (France), LaTeX, 7 pages
Talk given at QCD08, the 14th International QCD Conference, 7-12th July 2008, Montpellier (France), LaTeX, 7 pages