Deviation from μ−τ reflection symmetry under radiative corrections in the minimal seesaw framework
Abstract
The μ-τ reflection symmetry predicts a maximal atmospheric mixing angle, θ23=π/4, and Dirac CP phase, δ=π/2 or 3π/2. Recent global analyses indicate small but significant deviations from these predictions, suggesting that the symmetry is approximate and requires breaking. Motivated by this, we study the breaking of μ-τ reflection symmetry induced by radiative corrections in the minimal seesaw framework, assuming the symmetry to be exact at the high-energy seesaw scale Λμτ=1014 GeV. A distinctive feature of the minimal seesaw is that one light neutrino remains massless, leaving only one physical Majorana CP phase. Starting from the integral solution of the one-loop RGE for the effective Majorana neutrino mass matrix, we derive analytical expressions for the low-energy neutrino parameters at ΛEW=172.76 GeV in terms of their high-energy counterparts. We then numerically estimate the low-energy parameters within the MSSM, taking Λs=1 TeV and tanβ=10, $30$ and $50$. The analysis is performed separately for Normal Order (NO) and Inverted Order (IO). We find that the predicted neutrino masses and mixing parameters are consistent with current experimental data in both scenarios. The sum of neutrino masses, Jarlskog invariant J, and effective Majorana mass |⟨ m⟩ee| also satisfy current experimental constraints. Finally, we estimate the amount of deviations of the low-energy neutrino parameters from their high-energy values and investigate their dependence on tanβ. We find that the magnitude of these deviations increases with increasing tanβ for both NO and IO.
Related
- Radiative Corrections and Reheating in Supergravity Models of Inflation
- Radiative corrections to weak interaction processes
- Looking at radiative corrections to the Σ±→Λe± ν̅ semileptonic decay-rate ratio
- Δ resonance contributions to QED radiative corrections in neutron and inverse beta decay
- Radiative Corrections to the Direct Detection of Inelastic Scattering of Higgsino-like Neutralino Dark Matter
BibTeX
@misc{pegu2026deviation,
title = {{Deviation from $μ-τ$ reflection symmetry under radiative corrections in the minimal seesaw framework}},
author = {Prokash Pegu and Chandan Duarah},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.01196},
eprint = {2609.01196},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.01196},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Deviation from μ−τ reflection symmetry under radiative corrections in the minimal seesaw framework
AU - Prokash Pegu
AU - Chandan Duarah
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2609.01196
UR - https://arxiv.org/abs/2609.01196
AB - The μ-τ reflection symmetry predicts a maximal atmospheric mixing angle, θ_23=π/4, and Dirac CP phase, δ=π/2 or 3π/2. Recent global analyses indicate small but significant deviations from these predictions, suggesting that the symmetry is approximate and requires breaking. Motivated by this, we study the breaking of μ-τ reflection symmetry induced by radiative corrections in the minimal seesaw framework, assuming the symmetry to be exact at the high-energy seesaw scale Λ_μτ=10^14 GeV. A distinctive feature of the minimal seesaw is that one light neutrino remains massless, leaving only one physical Majorana CP phase. Starting from the integral solution of the one-loop RGE for the effective Majorana neutrino mass matrix, we derive analytical expressions for the low-energy neutrino parameters at Λ_EW=172.76 GeV in terms of their high-energy counterparts. We then numerically estimate the low-energy parameters within the MSSM, taking Λ_s=1 TeV and tanβ=10, $30$ and $50$. The analysis is performed separately for Normal Order (NO) and Inverted Order (IO). We find that the predicted neutrino masses and mixing parameters are consistent with current experimental data in both scenarios. The sum of neutrino masses, Jarlskog invariant J, and effective Majorana mass |⟨ m⟩_ee| also satisfy current experimental constraints. Finally, we estimate the amount of deviations of the low-energy neutrino parameters from their high-energy values and investigate their dependence on tanβ. We find that the magnitude of these deviations increases with increasing tanβ for both NO and IO.
ER -