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From mass textures point of view, we present a comparative study of the$\mathbf{S}_{3}$ flavor symmetry in the left-right symmetry model (LRSM) andthe baryon minus lepton model (BLM) taking into account their predictions onthe CKM mixing matrix. To do this, we recover the already studied quark massmatrix, that comes from some published papers, and under certain strongassumption, one can show that there are predictive scenarios in the LRSM andBLM where the modified Fritzsch and nearest neighbor interaction (NNI) texturesdrive respectively the quark mixings. As main result, the CKM mixing matrix isin good agreement with the last experimental data in the flavored BLM model.

A comparative study between the modified Fritzsch and nearest neighbor interaction textures