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

Abstract

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