Inclusive semileptonic $B_s^0$ meson decays at the LHC via a sum-of-exclusive modes technique: possibilities and prospects

We propose an approach for measuring the moments of the hadronic invariant mass distribution in semileptonic $B_s^0$ meson decays using a sum-of-exclusive technique. Using the present and foreseen knowledge about exclusive semileptonic $B_s^0$ decays, we estimate the uncertainties on moments of the kinematic distribution. Semileptonic $B_s^0$ decays can be described, as their $B^0$ counterpart, using the Heavy Quark Expansion (HQE), with the only difference between the $B_s^0$ and $B^0$ mesons being the $SU(3{)}_F$ breaking effects that change the numerical values of the non-perturbative HQE parameters. We extract the HQE parameters for the $B_s^0$ decays from our estimates of the moments, showing the potential of the proposed method. We identify a set of required measurements for a future precision measurement.