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High Energy Physics - Phenomenology

Title: A4 See-Saw Models and Form Dominance

Abstract: We introduce the idea of Form Dominance in the (type I) see-saw mechanism, according to which a particular right-handed neutrino mass eigenstate is associated with a particular physical neutrino mass eigenstate, leading to a form diagonalizable effective neutrino mass matrix. Form Dominance, which allows an arbitrary neutrino mass spectrum, may be regarded as a generalization of Constrained Sequential Dominance which only allows strongly hierarchical neutrino masses. We consider alternative implementations of the see-saw mechanism in minimal A4 see-saw models and show that such models satisfy Form Dominance, leading to neutrino mass sum rules which predict closely spaced neutrino masses with a normal or inverted neutrino mass ordering. To avoid the partial cancellations inherent in such models we propose Natural Form Dominance, in which a different flavon is associated with each physical neutrino mass eigenstate.
Comments: 18 pages; v2: references added; v3: to appear in JHEP
Subjects: High Energy Physics - Phenomenology (hep-ph)
Journal reference: JHEP 0906:072,2009
DOI: 10.1088/1126-6708/2009/06/072
Cite as: arXiv:0903.0125v3 [hep-ph]

Submission history

From: Stephen King [view email]
[v1] Sun, 1 Mar 2009 07:19:41 GMT (15kb)
[v2] Sat, 28 Mar 2009 07:16:09 GMT (15kb)
[v3] Thu, 18 Jun 2009 19:04:21 GMT (15kb)