Flavored S3 Non-Minimal Left-Right Symmetric Model
Abstract
In this work we investigate fermion masses and flavor mixings in a non-minimal left-right symmetric model endowed with the non-Abelian discrete symmetry S3. The scalar sector contains three Higgs bidoublets, while one left-handed and one right-handed triplet generate Majorana neutrino masses. Assigning the first two fermion families to an S3 doublet and the third family to a singlet, together with a specific alignment of the bidoublet vacuum expectation values, leads to a common and analytically tractable structure for the fermion mass matrices. We study both the pseudomanifest and manifest left-right realizations, in which the fermion mass matrices are complex symmetric and Hermitian, respectively, and derive analytical expressions for the left- and right-handed CKM and PMNS mixing matrices. A numerical likelihood test shows that the model successfully reproduces the observed quark and lepton mixing patterns for both normal and inverted neutrino mass orderings at the level of oscillation data. Remarkably, the manifest scenario emerges as a more restrictive realization of the pseudomanifest one, with the main distinction residing in their CP-phase structure. We further explore the phenomenological consequences for the neutrinoless double-beta decay, the muon anomalous magnetic moment, and the lepton-flavor-violating decay μ→ eγ. The right-handed contribution exhibits the characteristic dependence on the heavy-neutrino and WR mass scales, while flavor corrections are found to be subleading over most of the allowed parameter space. These results show that an S3 flavor symmetry can simultaneously organize fermion mixing and lead to distinctive low-energy signatures within left-right symmetric theories.
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BibTeX
@misc{gonzalezcanales2026flavored,
title = {{Flavored $S_3$ Non-Minimal Left-Right Symmetric Model}},
author = {F. Gonzalez-Canales and Juan Carlos Gómez-Izquierdo},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.31770},
eprint = {2610.31770},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.31770},
}
RIS
TY - UNPB
TI - Flavored S_3 Non-Minimal Left-Right Symmetric Model
AU - F. Gonzalez-Canales
AU - Juan Carlos Gómez-Izquierdo
PY - 2026
DA - 2026/10/22
PB - arXiv
DO - 10.48550/arxiv.2610.31770
UR - https://arxiv.org/abs/2610.31770
AB - In this work we investigate fermion masses and flavor mixings in a non-minimal left-right symmetric model endowed with the non-Abelian discrete symmetry S_3. The scalar sector contains three Higgs bidoublets, while one left-handed and one right-handed triplet generate Majorana neutrino masses. Assigning the first two fermion families to an S_3 doublet and the third family to a singlet, together with a specific alignment of the bidoublet vacuum expectation values, leads to a common and analytically tractable structure for the fermion mass matrices. We study both the pseudomanifest and manifest left-right realizations, in which the fermion mass matrices are complex symmetric and Hermitian, respectively, and derive analytical expressions for the left- and right-handed CKM and PMNS mixing matrices. A numerical likelihood test shows that the model successfully reproduces the observed quark and lepton mixing patterns for both normal and inverted neutrino mass orderings at the level of oscillation data. Remarkably, the manifest scenario emerges as a more restrictive realization of the pseudomanifest one, with the main distinction residing in their CP-phase structure. We further explore the phenomenological consequences for the neutrinoless double-beta decay, the muon anomalous magnetic moment, and the lepton-flavor-violating decay μ→ eγ. The right-handed contribution exhibits the characteristic dependence on the heavy-neutrino and W_R mass scales, while flavor corrections are found to be subleading over most of the allowed parameter space. These results show that an S_3 flavor symmetry can simultaneously organize fermion mixing and lead to distinctive low-energy signatures within left-right symmetric theories.
ER -