Bounds on quark mixing, $M_{Z^{\prime}}$ and $Z-Z^{\prime}$ mixing angle from flavor changing neutral processes in a 3-3-1 model

Abstract

Meson and antimeson mixing constitutes an important source of constraint on models that give tree level contributions to flavor violating neutral processes. In electroweak $SU(3)_L \times U(1)_N$ models, where anomaly cancellation requires that one family of quarks transforms differently from the other ones, processes involving flavor changing neutral currents gain tree level contributions mediated by gauge and scalar fields. Here, we firstly investigate the contributions to the $K^0-\bar K^0$, $B^0-\bar B^0$, and $D^0-\bar D^0$ mixings from the standard Higgs and confront our predictions with experiments. We argue that the results shed light in the quark mixing matrices $V^{u,d}_L$. We, next, evaluate the contributions of $Z^{\prime}$ and $Z$ to $K^0-\bar K^0$ mixing. As a result, we obtain a severe bound on $M_{ Z^{\prime}}$ and $\phi$.Comment: 14 pages, 1 figur