B–L Model with $$\mathbf{S}_{3}$$ S 3 symmetry

Abstract

We make a scalar extension of the B-L gauge model where the S 3 non-abelian discrete group drives mainly the Yukawa sector. Motived by the large and small hierarchies among the quark and active neutrino masses, respectively, the quark and lepton families are not treated on the same footing under the assignment of the discrete group. As a consequence, the nearest neighbor interaction (NNI) textures appear in the quark sector, leading to the CKM mixing matrix, whereas in the lepton sector, a soft breaking of the μ ↔ τ symmetry in the effective neutrino mass, which comes from type I seesaw mechanism, provides a non-maximal atmospheric angle and a non-zero reactor angle.

Synthesis of Polysubstituted Iodoarenes Enabled by Iterative Iodine‐Directed para and ortho C−H Functionalization

“…Intriguingly, DFT calculations revealed comparable activation barriers for the [3,3] rearrangement step of the H‐ and RSO 2 ‐substituted allylsilanes (Table C). This may suggest that the superlative performance of allylsulfones 26 and 34 stems from the higher resistance of the intermediate allyliodonium species toward external nucleophilic attack . Incidentally, a related sulfonyl‐containing cationic species [PhI‐CH 2 SO 2 Ar] + has been described as bench‐stable .…”

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

“…Within this theoretical framework, the S 3 flavor symmetry was also explored and the three Higgs doublets were included to generate the fermion mixings. In particular, in the model [28], the quark and Higgs fields transform in a not trivial form as can be seen in the following table. Given the above assignation, the quark mass matrix has the same form as that given in Eq.…”

“…As a result of this, in the last years, a plethora of discrete symmetries have been proposed to accommodate the fermion mixings, all of this in different theoretical frameworks. In particular, the S 3 flavor symmetry, and its implications on masses and mixings, has been studied in the left-right symmetry (LRSM) [26,27] and baryon minus lepton number models (BLM) [28].…”

“…In the current paper, from mass textures point of view, we present a comparative study of the S 3 flavor symmetry in the left-right symmetry model (LRSM) and baryon minus lepton model (BLM) taking into account their predictions on the CKM mixing matrix. To do this, we will recover the already studied quark mass matrix, that comes from some published papers [26][27][28], 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.…”

Predictive neutrino mass textures with origin of flavor symmetries

“…(III.14) 6 Note here that refs. [23,24] realize the appropriate charged-lepton mass matrix, by imposing an additional…”