2024/05/14 by Y Monitar Singh, Singh, Y Monitar, Mayengbam Kishan Singh +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Neutrino Physics Research #Particle physics theoretical and experimental studies #Scientific Research and Discoveries
paper · pdf · doi:10.48550/arxiv.2405.08495
openalex publication_date 2024/05/14 · openalex created_date 2024/05/16 · openalex updated_date 2026/07/28
A randomly generated complex symmetric matrix using Adaptive Monte Carlo method, is taken as a general form of Majorana neutrino mass matrix, which is diagonalized by the use of eigenvectors. We extract all the neutrino oscillation parameters i.e. two mass-squared differences (Δm212 and Δm322 ), three mixing angles (θ12, θ13, θ23) and three phases i.e. one Dirac CP violating phase (δCP) and two Majorana phases (α and β). The charge-parity (CP) violating phases are extracted from the mixing matrix constructed with the eigenvectors of the Hermitian matrix formed by the complex symmetric matrix. All the neutrino oscillation parameters within 3σ bound are allowed in both normal hierarchy (NH) and inverted hierarchy (IH) consistent with the latest Planck cosmological upper bound, ∑\vert mi\vert<0.12 eV. This latest cosmological upper bound is allowed only in three cases of zero texture for m11=0; m11,m12=0 and m11,m13=0 in normal hierarchy whereas none of zero texture is allowed in inverted hierarchy. We also study effective neutrino masses mβ in tritium beta decay and mββ in neutrinoless double beta decay.