English

Neutrino cuboid for normal mass ordering and tribimaximal flavor mixing

High Energy Physics - Phenomenology 2026-07-08 v1

Abstract

Given the latest JUNO implication for normal neutrino mass ordering, we parametrize three neutrino masses in a flavor cuboid: m1=m0sinξm^{}_1 = m^{}_0 \sin\xi, m2=m0cosξsinζm^{}_2 = m^{}_0 \cos\xi \sin\zeta and m3=m0cosξcosζm^{}_3 = m^{}_0 \cos\xi \cos\zeta. We find that this cuboid is able to accommodate both neutrino mass degeneracy and tribimaximal flavor mixing in its cubic limit with ξ=arctan(1/2)35.26\xi^{}_* = \arctan\left(1/\sqrt{2}\right) \simeq 35.26^\circ and ζ=45\zeta^{}_* = 45^\circ. Assuming θ12=ξ\theta^{}_{12} = \xi and θ23=ζ\theta^{}_{23} = \zeta for the two large angles of neutrino oscillations and expanding them around ξ\xi^{}_* and ζ\zeta^{}_*, we propose a viable ansatz which predicts a normal but nearly degenerate neutrino mass spectrum and a nearly tribimaximal neutrino mixing pattern. Testing the achieved correlation among ξθ12\xi^{}_* - \theta^{}_{12}, ζθ23\zeta^{}_* - \theta^{}_{23} and Δm212/Δm312\Delta m^2_{21}/\Delta m^2_{31} will provide a smoking gun for the validity of this ansatz.

Keywords

Cite

@article{arxiv.2607.07311,
  title  = {Neutrino cuboid for normal mass ordering and tribimaximal flavor mixing},
  author = {Zhi-zhong Xing},
  journal= {arXiv preprint arXiv:2607.07311},
  year   = {2026}
}

Comments

LaTeX 9 pages, 1 figure