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The Minimal Lepton Flavour Violation (MLFV) framework is discussed after therecent indication for CP violation in the leptonic sector. Among the threedistinct versions of MLFV, the one with degenerate right-handed neutrinos willbe disfavoured, if this indication is confirmed. The predictions for leptonicradiative rare decays and muon conversion in nuclei are analysed, identifyingstrategies to disentangle the different MLFV scenarios. The claim that thepresent anomalies in the semi-leptonic $B$-meson decays can be explained withinthe MLFV context is critically re-examined concluding that such an explanationis not compatible with the present bounds from purely leptonic processes.

Revisiting Minimal Lepton Flavour Violation in the Light of Leptonic CP Violation