Isospin extrapolation as a method to study inclusive $${\overline{B}} \rightarrow X_{s} \ell ^{+}\ell ^{-} $$ B ¯ → X s ℓ + ℓ - decays

A novel approach to reconstruct inclusive $${\overline{B}} \rightarrow X_{s} \ell ^{+}\ell ^{-} $$ decays is presented. The method relies on isopsin symmetry to extrapolate the semi-inclusive signature $$X_{b}\rightarrow K^{+} \ell ^{+}\ell ^{-} X$$ 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 $$C\!P$$ asymmetries. As a proof of concept, fast simulation is used to compare the $$X_{b}\rightarrow K^{+} \ell ^{+}\ell ^{-} X$$ signature with a fully inclusive approach. Several experimental advantages are seen which have the potential to make measurements of inclusive $${\overline{B}} \rightarrow X_{s} \ell ^{+}\ell ^{-} $$ decays tractable at a hadron collider.