Mass-matrix ansatz and constraints on $B_s^0-{\bar{B}}_s^0$ mixing in 331 models

Abstract

Comparing the theoretically predicted and measured values of the mass difference of the $B_s^0$ system, we estimate the lower bound on the mass of the $Z^{\prime }$ boson of models based on the $SU(3{)}_c\otimes SU(3{)}_L\otimes U(1{)}_X$ gauge group. By assuming zero-texture approaches of the quark mass matrices, we find the ratio of the measured value to the theoretical prediction from the Standard Model and the $Z^{\prime }$ contribution from the 331 models of the mass difference of the $B_s^0$ system. We find lower bounds on the $Z^{\prime }$ mass ranging between 1 TeV and 30 TeV for the two most popular 331 models, and four different zero-textures ansätze. The above results are expressed as a function of the weak angle associated to the $b-s-Z^{\prime }$ couplings.

arXiv commentTo be published at Physical Revew D

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