Abstract
Assuming lepton number conservation, hermiticity of the neutrino mass matrix and νμ–ντ exchange symmetry, we show that we can determine the neutrino mass matrix completely from the existing data. Comparing with the existing data, our model predicts an inverted mass hierarchy (close to a degenerate pattern) with the three neutrino mass values, 9.16×10−2 eV, 9.21×10−2 eV and 7.80×10−2 eV, a large value for the CP violating phase, δ=109.63°, and of course, the absence of neutrinoless ββ decay. All of these predictions can be tested in the forthcoming or future precision neutrino experiments.
Highlights
In the past 20 years, there has been a great deal of progress in neutrino physics from the atmospheric neutrino experiments (Super-K [1], K2K [2], MINOS [3]), solar neutrino experiments ( SNO [4], Super-K [5], KamLAND [6]) as well as reactor/accelerator neutrino experments (Daya Bay [7], RENO [8], Double Chooz [9], T2K[10], NOνa [11])
There are several important parameters yet to be measured. These include the value of the CP phase δ which will determine the magnitude of CP violation in the leptonic sector and the sign of ∆m232 which will determine whether the neutrino mass hierarchy is normal or inverted
We have presented a predictive model for Dirac neutrinos
Summary
In the past 20 years, there has been a great deal of progress in neutrino physics from the atmospheric neutrino experiments (Super-K [1], K2K [2], MINOS [3]), solar neutrino experiments ( SNO [4], Super-K [5] , KamLAND [6]) as well as reactor/accelerator neutrino experments (Daya Bay [7], RENO [8], Double Chooz [9], T2K[10], NOνa [11]) These experiments have pinned down three mixing angles - θ12, θ23, θ13 and two mass squared differences ∆m2ij = m2i − m2j with reasonable accuracy [12]. We predict the absence of neutrinoless double ββ decay
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