Abstract
We have considered a model \cite{ma-weg}, where masses and a mixing pattern for neutrinos are governed by six Higgs triplets and $A_4$ symmetry. In this model we have applied a certain diagonalisation procedure through which we have shown that neutrino masses can have both normal or inverted hierarchy. We have also shown that current neutrino oscillation data can be explained in this model.
Highlights
Neutrino masses and mixing angles play a vital role in our understanding about physics beyond the standard model (SM) [1]
A4 symmetry [7,8] are elegant in explaining the mixing pattern in the neutrino sector. Among these various models of A4 symmetry, here we focus on one model [9], which is proposed by Ma and Wegman
After equating UTBM with UPMNS we can find that the neutrino mixing angles fit the TBM pattern, which we have described in the previous section
Summary
Neutrino masses and mixing angles play a vital role in our understanding about physics beyond the standard model (SM) [1]. For a review on neutrino masses and mixing angles, see Ref. The three neutrino mixing angles are close to the following pattern: sin2θ12 1⁄4 1=3, sin2θ23 1⁄4 1=2, sin2θ13 1⁄4 0. This is known as tribimaximal (TBM) mixing [4]. From this we can infer that the mixing angles in the neutrino sector are not arbitrary but could emerge from a pattern. One would like to know if there is any underlying physics that is responsible for the pattern among the neutrino mixing angles
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