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The simplest extension of the SM that generally introduces new sources offlavour and CP violation as well as right-handed currents is the addition of aU(1) gauge symmetry to the SM gauge group. If the corresponding heavy gaugeboson Z' mediates FCNC processes in the quark sector at tree-level, these newphysics contributions imply a pattern of deviations from SM expectations forFCNC processes depending only on Z' couplings to fermions and on its mass. Thisimplies stringent correlations between Delta F=2 and Delta F=1 observableswhich govern the landscape of the allowed parameter space for Z'-models.Anticipating the Flavour Precision Era (FPE) ahead of us we illustrate this bysearching for allowed oases in this landscape assuming significantly smalleruncertainties in CKM and hadronic parameters than presently available. To thisend we analyze Delta F=2 observables in K^0-bar K^0 and B^0_{s,d}-bar B^0_{s,d}systems and rare K and B decays including both left-handed and right-handedZ'-couplings to quarks in various combinations. We identify a number ofcorrelations between various flavour observables that could test anddistinguish these different Z' scenarios. The important role of b->s l^+ l^-and b->s nu bar nu transitions in these studies is emphasized. Imposing theexisting flavour constraints, a rich pattern of deviations from the SMexpectations in B_{s,d} and K meson systems emerges provided M_Z'<3 TeV. Whilefor M_Z'>5 TeV Z' effects in rare B_{s,d} decays are found typically below 10%and hard to measure even in the FPE, K->pi nu bar nu and K_L-> pi^0 l^+ l^-decays provide an important portal to scales beyond those explored by the LHC.We apply our formalism to NP scenarios with induced flavour changing neutralZ-couplings to quarks. We find that in the case of B_d and K decays, but notB_s decays, such Z-couplings still allow for sizable departures from the SM.

The Anatomy of Z' and Z with Flavour Changing Neutral Currents in the Flavour Precision Era