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 $B_s^0$ \( {B}_s^0 \) meson decays using a sum-of-exclusive technique. Using the present and foreseen knowledge about exclusive semileptonic $B_s^0$ \( {B}_s^0 \) decays, we estimate the uncertainties on moments of the kinematic distribution. Semileptonic $B_s^0$ \( {B}_s^0 \) decays can be described, as their B⁰ counterpart, using the Heavy Quark Expansion (HQE), with the only difference between the $B_s^0$ \( {B}_s^0 \) and B⁰ 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 $B_s^0$ \( {B}_s^0 \) 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.