Restoring minimal modular neutrino masses via Kähler R-parity violation
Abstract
The possibility of describing neutrino masses through a single multiplet of modular forms in a modular symmetric framework is reanalysed. The minimal model achieving this is Feruglio's model based on modular A4 symmetry, which contains a chiral flavon triplet ϕ, with all neutrino masses and mixing determined by a superfield triplet of modular forms Y(τ). We point out that, in local supersymmetry, these superfields by themselves allow an additional R-parity-violating contribution to neutrino masses originating from the Kähler potential of the model. The R violation manifests through a bilinear term εi Li Hu in the effective superpotential, with parameters εi determined in terms of Y(τ) and its derivatives. The Kähler potential also mixes neutrinos with the fermionic component of ϕ, leading to seesaw neutrino masses when these fermions are massive. Two separate cases are analysed, with neutrinos obtaining mass through the Weinberg operator or through the ϕ-induced seesaw. Unlike the original model, adding the R-violating contribution allows accurate reproduction of neutrino mixing angles and mass ratios for both the normal and inverted orderings in either case, with the Weinberg operator predicting a sum of neutrino masses close to the cosmological limit and the seesaw mechanism predicting ones comfortably below it.
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BibTeX
@misc{joshipura2026restoring,
title = {{Restoring minimal modular neutrino masses via Kähler $R$-parity violation}},
author = {Anjan S. Joshipura and Ketan M. Patel},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.25592},
eprint = {2609.25592},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.25592},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Restoring minimal modular neutrino masses via Kähler R-parity violation
AU - Anjan S. Joshipura
AU - Ketan M. Patel
PY - 2026
DA - 2026/09/22
PB - arXiv
DO - 10.48550/arxiv.2609.25592
UR - https://arxiv.org/abs/2609.25592
AB - The possibility of describing neutrino masses through a single multiplet of modular forms in a modular symmetric framework is reanalysed. The minimal model achieving this is Feruglio's model based on modular A_4 symmetry, which contains a chiral flavon triplet ϕ, with all neutrino masses and mixing determined by a superfield triplet of modular forms Y(τ). We point out that, in local supersymmetry, these superfields by themselves allow an additional R-parity-violating contribution to neutrino masses originating from the Kähler potential of the model. The R violation manifests through a bilinear term ε_i L_i H_u in the effective superpotential, with parameters ε_i determined in terms of Y(τ) and its derivatives. The Kähler potential also mixes neutrinos with the fermionic component of ϕ, leading to seesaw neutrino masses when these fermions are massive. Two separate cases are analysed, with neutrinos obtaining mass through the Weinberg operator or through the ϕ-induced seesaw. Unlike the original model, adding the R-violating contribution allows accurate reproduction of neutrino mixing angles and mass ratios for both the normal and inverted orderings in either case, with the Weinberg operator predicting a sum of neutrino masses close to the cosmological limit and the seesaw mechanism predicting ones comfortably below it.
ER -