Neutrino masses and mixing angles in the Plan B Model
Abstract
The Plan B Model was proposed to improve the global fit quality of the Standard Model to observables involving the b→ s ℓ+ ℓ- transition whilst simultaneously providing a qualitative explanation for the small magnitudes of some off-diagonal quark mixing matrix entries. The model is based on applying an additional spontaneously broken U(1)3B3−Le−2Lμ gauge symmetry to the Standard Model with family-dependent fermion charges. Right-handed neutrino fields are present and cancel gauge anomalies. We investigate the implications of the Plan B Model for neutrino masses and mixing angles. The model naturally suggests a Froggatt-Nielsen mechanism for neutrino masses and mixing hierarchies. We find that an implementation of the Froggatt-Nielsen mechanism works when additional suppression is present from a clockwork mechanism. We show how current neutrino oscillation data can be fit with order unity fundamental dimensionless couplings.
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BibTeX
@misc{allanach2026neutrino,
title = {{Neutrino masses and mixing angles in the Plan B Model}},
author = {Ben Allanach and Prabhoda Chandra Sarjapur},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.00907},
eprint = {2609.00907},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.00907},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Neutrino masses and mixing angles in the Plan B Model
AU - Ben Allanach
AU - Prabhoda Chandra Sarjapur
PY - 2026
DA - 2026/09/09
PB - arXiv
DO - 10.48550/arxiv.2609.00907
UR - https://arxiv.org/abs/2609.00907
AB - The Plan B Model was proposed to improve the global fit quality of the Standard Model to observables involving the b→ s ℓ^+ ℓ^- transition whilst simultaneously providing a qualitative explanation for the small magnitudes of some off-diagonal quark mixing matrix entries. The model is based on applying an additional spontaneously broken U(1)_3B_3−L_e−2L_μ gauge symmetry to the Standard Model with family-dependent fermion charges. Right-handed neutrino fields are present and cancel gauge anomalies. We investigate the implications of the Plan B Model for neutrino masses and mixing angles. The model naturally suggests a Froggatt-Nielsen mechanism for neutrino masses and mixing hierarchies. We find that an implementation of the Froggatt-Nielsen mechanism works when additional suppression is present from a clockwork mechanism. We show how current neutrino oscillation data can be fit with order unity fundamental dimensionless couplings.
ER -