A novel approach to reconstruct inclusive $\bar{ B} \to X_{ s} \ell^{ +}\ell^{ -}$ decays is presented. The method relies on isopsin symmetry to extrapolate the semi-inclusive signature $X_{ b}\to K^{ +} \ell^{ +}\ell^{ -} X$ to the fully inclusive rate in $B^{ +}$ and $B^{ 0}$ decays. We investigate the possibility to measure branching fractions and other observables such as lepton universality ratios and $CP$ asymmetries. As a proof of concept, fast simulation is used to compare the $X_{ b}\to K^{ +} \ell^{ +}\ell^{ -} X$ signature with a fully inclusive approach. Several experimental advantages are seen which have the potential to make measurements of inclusive $\bar{ B} \to X_{ s} \ell^{ +}\ell^{ -}$ decays tractable at a hadron collider.
Categories: hep-ph hep-ex