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    Inclusive $$\overline{B}\to {X}_s{\ell}^{+}{\ell}^{-}$$ at the LHC: theory predictions and new-physics reach
    We present theoretical predictions for observables in inclusive $\overline{B}\to {X}_s{\ell}^{+}{\ell}^{-}$ suitable for measurements at hadron colliders through a sum-over-exclusive approach. At low $q^{2}$ we calculate the branching ratio and three angular observables. At high $q^{2}$ we provide the branching ratio and the ratio of the $\overline{B}\to {X}_s{\ell}^{+}{\ell}^{-}$ rate with respect to the inclusive $\overline{B}\to {X}_u\ell \overline{\nu}$ rate with the same phase-space cut. We compare our predictions to the B factory measurements and also to an extraction of the experimental rate through a sum-over-exclusive method using branching ratios of the exclusive $\overline{B}\to {K}^{\left(\ast \right)}{\mu}^{+}{\mu}^{-}$ modes measured at LHCb. We find a consistent picture comparing Standard Model theory and experiment. As such, our analysis does not support a recent claim about a deficit in the inclusive branching ratio in the high- $q^{2}$ region. Finally, we present current model-independent bounds on new physics and emphasize the potential of complementary analyses of $\overline{B}\to {X}_s{\ell}^{+}{\ell}^{-}$ at Belle II and the LHC.
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    Quark-hadron duality violations and higher-order 1/mb corrections in inclusive semileptonic B decays
    The theoretical description and data for inclusive semileptonic B decays have reached incredible precision. This motivated us to re-animate the discussion of possible Quark-Hadron Duality violations. There seems that there is currently no evidence of a failure of the Heavy Quark Expansion (HQE) used to compute observables for these decays. However, we might arrive at a point where an asymptotic behaviour of the HQE would limit a further increase of precision. We discuss this possibility and suggest a simple model, which can be used to study the effects of higher orders in the 1/ m b expansion and possible quark-hadron duality violations. We devise observables sensitive only to such higher-order effects to test the behaviour of the HQE. Using these observables we obtain a first estimate of possible quark-hadron duality violations using the measured q 2 moments.
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