Investigating Two-zero Textures of Inverse Neutrino Mass Matrix under the Lamp Post of LMA and LMA-D Solutions and Symmetry Realization

Abstract

In this work we have investigated the phenomenological consequences of two-zero textures of \textit{inverse} neutrino mass matrix ($M_{\nu }^{-1}$) in light of the large mixing angle (LMA) and large mixing angle-\textit{dark} (LMA-D) solutions, later of which originates if neutrinos exhibit non-standard interactions with matter. Out of fifteen possibilities, only seven two-zero textures of $M_{\nu }^{-1}$ are found to be phenomenologically allowed under LMA and/or LMA-D descriptions. In particular, five textures are in consonance with both LMA and LMA-D solutions and are necessarily $CP$ violating while remaining two textures are found to be consistent with LMA solution only. The textures with vanishing (1, 1) element of $M_{\nu }^{-1}$ are, in general, disallowed. All the textures allowed under LMA and LMA-D solutions follow the same neutrino mass hierarchy. Furthermore, textures with vanishing (2, 3) element of $M_{\nu }^{-1}$ are found to be either disallowed or are consistent with LMA description only. We have, also, obtained the implication of the model for $0\nu \beta \beta$ decay amplitude $|M_{ee}|$. For most of the textures the calculated $3\sigma$ lower bound on $|M_{ee}|$ is $\mathcal{O}(10^{-2})$, which is within the sensitivity reach of $0\nu \beta \beta$ decay experiments. We have, also, proposed a flavor model based on discrete non-Abelian flavor group $A_4$ wherein such textures of $M_{\nu }^{-1}$ can be realized within Type-I seesaw setting.

arXiv comment23 pages, 10 captioned figures

References in corpus (25)

• Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen
• Softly Broken A_4 Symmetry for Nearly Degenerate Neutrino Masses
• 2020 Global reassessment of the neutrino oscillation picture
• Zeroes of the Neutrino Mass Matrix
• General bounds on non-standard neutrino interactions
• Texture Zeros and Majorana Phases of the Neutrino Mass Matrix
• The LMA MSW Solution of the Solar Neutrino Problem, Inverted Neutrino Mass Hierarchy and Reactor Neutrino Experiments
• Two-zero Textures of the Majorana Neutrino Mass Matrix and Current Experimental Tests
• The Elements of the Neutrino Mass Matrix: Allowed Ranges and Implications of Texture Zeros
• Updated Constraints on Non-Standard Interactions from Global Analysis of Oscillation Data
• Curtailing the Dark Side in Non-Standard Neutrino Interactions
• Zeros of the inverted neutrino mass matrix
• Three-Neutrino Mass Matrices with Two Texture Zeros
• The Light Quark Sector, CP Violation, and the Unitarity Triangle
• Implications of the KamLAND Measurement on the Lepton Flavor Mixing Matrix and the Neutrino Mass Matrix
• Constraining nonstandard neutrino-quark interactions with solar, reactor and accelerator data
• The One-zero Textures of Majorana Neutrino Mass Matrix and Current Experimental Tests
• Neutrino Parameter Space for a Vanishing $ee$ Element in the Neutrino Mass Matrix
• Non-zero ${\theta }_{13}$ and CP-violation in inverse neutrino mass matrix
• Texture zeros of low-energy Majorana neutrino mass matrix in 3+1 scheme
• A New Sensitivity Goal for Neutrino-less Double Beta Decay Experiments
• Implications of the Dark LMA solution and Fourth Sterile Neutrino for Neutrino-less Double Beta Decay
• On Resolving the Dark LMA Solution at Neutrino Oscillation Experiments
• Revisiting Majorana Neutrino Textures in the Light of Dark LMA
• Implications of the Dark-LMA solution for neutrino mass matrices

Cited by in corpus (2)

• Gauged $U(1{)}_{L_{\mu }-L_{\tau }}$ Symmetry and two-zero Textures of Inverse Neutrino Mass Matrix in light of Muon ($g-2$)
• Embedding Generalized CP Symmetry in One Zero Texture Neutrino Mass Models