A Type-I Seesaw Framework with Non-Holomorphic Modular Symmetry

Fuente: arXiv
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Autores principales: Cheshta, Priya, Dutt, Suneel, Chauhan, B. C.
Formato: Preprint
Publicado: 2026
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author Cheshta
Priya
Dutt, Suneel
Chauhan, B. C.
author_facet Cheshta
Priya
Dutt, Suneel
Chauhan, B. C.
contents We study neutrino mass generation within the framework of non-holomorphic modular symmetry proposed by Qu and Ding. In this formalism, neutrino masses are generated via the Type-I seesaw mechanism, where the Yukawa couplings depend on non-holomorphic modular forms. The viability of the model is examined through a $χ^2$ analysis using current neutrino oscillation data. The $χ^2_{min}$ value is found to be $7.06$ for normal hierarchy(NH). All neutrino oscillation parameters are consistent within their $1σ$ allowed ranges, except the atmospheric mixing angle $\sin^2θ_{23}$, which is predicted to lie in the second octant. The Dirac CP-violating phase($δ_{CP}$) is constrained to the first and fourth quadrants, indicating relatively weak CP violation. These predictions can be tested in future long-baseline neutrino oscillation experiments. The sum of neutrino masses is compatible with the stringent bound proposed by the DESI experiment. However, the inverted hierarchy(IH) is not viable in this model, as the predicted value of $χ^2_{min}$ exceeds 100, and the mixing angles $\sin^2θ_{12}$ and $\sin^2θ_{23}$ lie outside the $3 σ$ allowed ranges.
format Preprint
id arxiv_https___arxiv_org_abs_2604_18070
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A Type-I Seesaw Framework with Non-Holomorphic Modular Symmetry
Cheshta
Priya
Dutt, Suneel
Chauhan, B. C.
High Energy Physics - Phenomenology
We study neutrino mass generation within the framework of non-holomorphic modular symmetry proposed by Qu and Ding. In this formalism, neutrino masses are generated via the Type-I seesaw mechanism, where the Yukawa couplings depend on non-holomorphic modular forms. The viability of the model is examined through a $χ^2$ analysis using current neutrino oscillation data. The $χ^2_{min}$ value is found to be $7.06$ for normal hierarchy(NH). All neutrino oscillation parameters are consistent within their $1σ$ allowed ranges, except the atmospheric mixing angle $\sin^2θ_{23}$, which is predicted to lie in the second octant. The Dirac CP-violating phase($δ_{CP}$) is constrained to the first and fourth quadrants, indicating relatively weak CP violation. These predictions can be tested in future long-baseline neutrino oscillation experiments. The sum of neutrino masses is compatible with the stringent bound proposed by the DESI experiment. However, the inverted hierarchy(IH) is not viable in this model, as the predicted value of $χ^2_{min}$ exceeds 100, and the mixing angles $\sin^2θ_{12}$ and $\sin^2θ_{23}$ lie outside the $3 σ$ allowed ranges.
title A Type-I Seesaw Framework with Non-Holomorphic Modular Symmetry
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2604.18070