Sources of Flavor Changed Neutral Currents (FCNC) emerge naturally from a well motivated framework called 3-3-1 with right-handed neutrinos model, 331 RHN for short, mediated by an extra neutral gauge boson Z′. Following previous work we calculate these sources and in addition we derive new ones coming from CP-even and -odd neutral scalars which appear due to their non-diagonal interactions with the physical standard quarks. Furthermore, by using 4 texture zeros for the quark mass matrices, we derive the mass difference terms for the neutral mesons systems K 0–[`(K)]0bar{K}^{0}, D 0–[`(D)]0bar{D}^{0} and B 0–[`(B0)]bar{B^{0}} and show that, though one can discern that the Z′ contribution is the most relevant one for mesons oscillations purposes, scalar contributions play a role also in this processes and hence it is worthwhile to investigate them and derive new bounds on space of parameters. In particular, studying the B 0–[`(B0)]bar {B^{0}} system we set the bounds M Z′≳4.2 TeV and MS2,MI3 >~7.5 TeVM_{S_{2}},M_{I_{3}} gtrsim7.5~mbox{TeV} in order to be consistent with the current measurements.
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