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High Energy Physics - Phenomenology

arXiv:0806.4592 (hep-ph)
[Submitted on 27 Jun 2008 (v1), last revised 30 Oct 2008 (this version, v7)]

Title:Renormalizable $A_4$ Model for Lepton Sector

Authors:Paul H. Frampton, Shinya Matsuzaki
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Abstract: We revisit $A_4$ flavor symmetry for the lepton sector with minimal Higgs sector, namely just one $A_4-$triplet SU(2)-doublet scalar. To increase predictivity even further, we impose the constraint of renormalizability. A geometric interpretation of an $A_4-$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 $A_4$ model and find there are two solutions: one with $m_2 \gg m_1 = m_3$ is phenomenologically unacceptable; the other with $m_3 \gg m_1 = m_2$ is a normal hierarchy. An inverted hierarchy is impossible without addition of more parameters by either more Higgs scalars or higher-order irrelevant operators.
Comments: Comparison to previous work
Subjects: High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th)
Cite as: arXiv:0806.4592 [hep-ph]
  (or arXiv:0806.4592v7 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.0806.4592

Submission history

From: Paul Frampton [view email]
[v1] Fri, 27 Jun 2008 18:35:49 UTC (15 KB)
[v2] Tue, 1 Jul 2008 16:16:10 UTC (15 KB)
[v3] Thu, 17 Jul 2008 18:22:57 UTC (16 KB)
[v4] Thu, 24 Jul 2008 15:26:39 UTC (16 KB)
[v5] Wed, 10 Sep 2008 22:47:23 UTC (16 KB)
[v6] Tue, 16 Sep 2008 18:39:04 UTC (16 KB)
[v7] Thu, 30 Oct 2008 20:27:04 UTC (16 KB)
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