Impact of $B\to K_0^{\ast }{\ell }^{+}{\ell }^{-}$ on the New Physics search in $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ decay

Abstract

We discuss the uncertainty related to the amount of unwanted $B\to K_0^{\ast }(K\pi ){\ell }^{+}{\ell }^{-}$ events in the sample of $B\to K^{\ast }(K\pi ){\ell }^{+}{\ell }^{-}$. Those events can increase the measured differential decay rate by up to 10% in the low $q^2$ region, and can be a source of non-negligible uncertainty in the full angular distribution of the $B\to K^{\ast }(K\pi ){\ell }^{+}{\ell }^{-}$ decay. Although the transverse asymmetries should be unaffected by the presence of the $S$-wave $K\pi$ pairs, coming from the scalar $K_0^{\ast }$ meson, we show that in practice their normalization might be sensitive to those events and could entail a sizable uncertainty in transverse asymmetries around $q^2=2Ge{V}^2$. For other $q^2$'s that error is under about 10%.

Comments: 16 pages [as published in NPB]