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Bottom-up approach to texture zeros in the neutrino mass matrix

2024/09/07 by Iffat Ara Mazumder, Mazumder, Iffat Ara, Rupak Dutta +1
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Neutrino Physics Research #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2409.04756

openalex publication_date 2024/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate one and two texture zeros in the neutrino mass matrix using the latest oscillation data through a bottom-up approach. In this context, we begin by estimating the detailed features of each matrix element by varying the CP violating phases within (0, 2π), the lowest neutrino mass within (0, 1) \rm eV and the neutrino oscillation parameters such as three mixing angles and the two mass squared differences within 3σ of their central values. We find that for normal ordering, only ee, eμ and eτ elements of the mass matrix can vanish, whereas, for inverted ordering, five elements -- eμ, eτ, μμ, μτ and ττ -- can vanish. For two texture zeros, only (ee, eμ= 0) and (ee, eτ=0) are allowed in case of normal ordering. For a particular vanishing element, we also estimate the range of the lowest neutrino mass and the CP violating phases. In particular, very interesting correlation among the CP violating phases and the lowest neutrino mass is obtained for each vanishing cases.

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