Looking for forward backward asymmetries in $B\to K{\mu }^{+}{\mu }^{-}$ and $K^{+}\to {\pi }^{+}{\mu }^{+}{\mu }^{-}$

Abstract

We investigate the possibility of scalar interaction affecting the forward backward asymmetry in the decay mode $B\to K{\mu }^{+}{\mu }^{-}$. Using the scalar contribution and advocating Cheng-Sher type ansatz we obtain sizable forward backward asymmetry. Furthermore, we study the effect of the scalar interaction in $K^{+}\to {\pi }^{+}{\mu }^{+}{\mu }^{-}$. It is pointed out that non-zero forward backward asymmetry in $B\to K{l}^{+}{l}^{-}$, if found in future B-factories, may indicate the new physics in the scalar sector.

Comments: 11 pages, 3 figures, version to appear in Phys. Letter. B