CMFV models facing the recent progress in lattice calculations of B s,d mixing

Recent results by the Fermilab Lattice and MILC collaborations on the hadronic matrix elements entering Bs,d−B¯s,d mixing have reached an unprecedented precision. Interestingly the Standard Model (SM) predictions using these updated values, together with the CKM elements obtained from tree-level decays, exhibit a significant tension with the measured values of the mass differences ΔMs, ΔMd and their ratio. Assessing this tension in a model-independent way, it can be shown that models with Constrained Minimal Flavour Violation can not improve the situation with respect to the SM, in particular when the correlation with the CP-violating parameter εK is taken into account. The new lattice results, if eventually confirmed by independent calculations, therefore imply the presence of new sources of flavour violation in the ΔF=2 sector.