A new look at b to s observables in 331 models

Flavour changing neutral current (FCNC) processes are described by loop diagrams in the Standard Model (SM), while in 331 models, based on the gauge group $\text{SU}(3)_C \times \text{SU}(3)_L \times \text{U}(1)_X$, they are dominated by tree-level exchanges of a new heavy neutral gauge boson $Z'$. Exploiting this feature, observables related to FCNC decays of $K$, $B_d$ and $B_s$ mesons can be considered in several variants of 331 models. The variants are distinguished by the value of a parameter $\beta$ that plays a key role in this framework. Imposing constraints on the $\Delta F = 2$ observables, we select possible ranges for the mass of the $Z'$ boson in correspondence to the values $\beta = \pm k / \sqrt{3}$, with $k = 1, 2$. The results are used to determine the impact of 331 models on $b \to s$ processes and on the correlations among them, in the light of new experimental data recently released.