Mu-tau reflection symmetry with a texture-zero

Abstract

The $\mu \tau$-reflection symmetry is a simple symmetry capable of predicting all the unknown CP phases of the lepton sector and the atmospheric angle but too simple to predict the absolute neutrino mass scale or the mass ordering. We show that by combining it with a discrete abelian symmetry in a nontrivial way we can additionally enforce a texture-zero and obtain a highly predictive scenario where the lightest neutrino mass is fixed to be in the few meV range for two normal ordering (NO) solutions or in the tens of meV in one inverted ordering (IO) solution. The rate for neutrinoless double beta decay is predicted to be negligible for NO or have effective mass $m_{\beta \beta }\approx 14\text{ – }29\mathrm{meV}$ for IO, right in the region to be probed in future experiments.

8 pp., 1 figure. v2. updates references and few words. To appear in JHEP

References in corpus (5)

• Observation of electron-antineutrino disappearance at Daya Bay
• Mass Independent Textures and Symmetry
• A complete survey of texture zeros in the lepton mass matrices
• Weak Basis Transformations and Texture Zeros in the Leptonic Sector
• CP violation in neutrino mass matrix

Cited by in corpus (2)

• Neutrino mu-tau reflection symmetry and its breaking in the minimal seesaw
• Generalized ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ in Scaling neutrino Majorana mass matrix and baryogenesis via flavored leptogenesis