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

## TL;DR

This paper compares the modified Fritzsch and nearest neighbor interaction textures within the S3 flavor symmetry framework in LRSM and BLM models, showing their impact on quark mixing predictions and aligning with experimental CKM data.

## Contribution

It introduces a comparative analysis of these textures in two models, highlighting their predictive power for quark mixing matrices under specific assumptions.

## Key findings

- CKM matrix predictions align with experimental data in BLM model.
- Modified Fritzsch and NNI textures influence quark mixing structures.
- Predictive scenarios are identified within both models.

## Abstract

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) and the baryon minus lepton model (BLM) taking into account their predictions on the CKM mixing matrix. To do this, we recover the already studied quark mass matrix, that comes from some published papers, and under certain strong assumption, one can show that there are predictive scenarios in the LRSM and BLM where the modified Fritzsch and nearest neighbor interaction (NNI) textures drive respectively the quark mixings. As main result, the CKM mixing matrix is in good agreement with the last experimental data in the flavored BLM model.