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The recent results by the Fermilab Lattice and MILC collaborations on thehadronic matrix elements entering $B_{d,s}-\bar B_{d,s}$ mixing show asignificant tension of the measured values of the mass differences $\DeltaM_{d,s}$ with their SM predictions. We review the implications of these resultsin the context of Constrained Minimal Flavour Violation models. In thesemodels, the CKM elements $\gamma$ and $|V_{ub}|/|V_{cb}|$ can be determinedfrom $B_{d,s}-\bar B_{d,s}$ mixing observables, yielding a prediction for$\gamma$ below its tree-level value. Determining subsequently $|V_{cb}|$ fromthe measured value of either $\Delta M_s$ or $\varepsilon_K$ gives inconsistentresults, with the tension being smallest in the Standard Model limit. Thistension can be resolved if the flavour universality of new contributions to$\Delta F = 2$ observables is broken. We briefly discuss the case of $U(2)^3$flavour models as an illustrative example.

Hints for new sources of flavour violation in meson mixing