Renormalizable A4 Model for Lepton Sector
Abstract
We revisit A4 flavor symmetry for the lepton sector with minimal Higgs sector, namely just one A4-triplet SU(2)-doublet scalar. To increase predictivity even further, we impose the constraint of renormalizability. A geometric interpretation of an A4-triplet aids our understanding of tribimaximal mixing. To increase predictivity even further, we impose the constraint of renormalizability. We investigate the neutrino mass hierarchy in such a minimal A4 model and find there are two solutions: one with m2 m1 = m3 is phenomenologically unacceptable; the other with m3 m1 = m2 is a normal hierarchy. An inverted hierarchy is impossible without addition of more parameters by either more Higgs scalars or higher-order irrelevant operators.
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