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Precision measures of electroweak and flavour observables, at both low andhigh energies, are highly complementary to direct searches for New Physics athigh-energy colliders. Despite the discovery of the Higgs boson at the LargeHadron Collider, and of the overwhelming successes of the Standard Model,several observational and theoretical problems remain to be addressed. Inaddition to neutrino oscillation phenomena, the Standard Model fails to explainthe baryon asymmetry of the Universe, and does not offer a viable dark mattercandidate. In recent years, numerous deviations between the Standard Modelprediction and experimental measurements have been identified; interestingly,most are closely connected to lepton flavours.  In this thesis we have explored several aspects of flavour physics, focusingon the phenomenological implications of models of massive neutrinos, and ofseveral Standard Model extensions capable of accommodating current tensions onanomalous magnetic moments of charged leptons and several $B$-meson decayobservables.

Indirect searches for New Physics via flavour observables