Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 6, Pages -Publisher
SPRINGER
DOI: 10.1088/1126-6708/2009/06/072
Keywords
Beyond Standard Model; Neutrino Physics
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Funding
- U. S. National Science Foundation [PHY-0709742]
- STFC [ST/G000557/1]
- EU Network [MRTN-CT-2004-503369]
- EU ILIAS [RII3-CT-2004-506222]
- Science and Technology Facilities Council [ST/G000557/1] Funding Source: researchfish
- STFC [ST/G000557/1] Funding Source: UKRI
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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 A(4) 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.
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