Abstract

Based on recent HQET sum rule and lattice calculations we present updated Standard Model predictions for the mass differences of neutral B mesons: varDelta {M}_s^{mathrm{SM}}=left({18.4}_{-1.2}^{+0.7}right){mathrm{ps}}^{-1} and varDelta {M}_d^{mathrm{SM}}=left({0.533}_{-0.036}^{+0.022}right){mathrm{ps}}^{-1} study their impact onnew physics models that address the present hints of anomalous data in b → sℓℓ transitions. We also examine future prospects of further reducing the theory uncertainties and discuss the implications of a 2025 scenario with varDelta {M}_s^{mathrm{SM};2025}=left(18.4pm 0.5right) ps−1. In particular, the latter yields upper bounds MZ′ ≲ 9TeV and {M}_{S_3}lesssim 30mathrm{TeV} for the minimal Z′ and S3 lepto-quark explanations of the b → sℓℓ anomalies, respectively.

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