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A4 see-saw models and form dominance

A4 see-saw models and form dominance
A4 see-saw models and form dominance
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.
72
Chen, Mu-Chun
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King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
Chen, Mu-Chun
0d100001-3bf5-43f0-80a0-1aac7bf59384
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538

Chen, Mu-Chun and King, Stephen F. (2009) A4 see-saw models and form dominance. Journal of High Energy Physics, 2009 (6), 72. (doi:10.1088/1126-6708/2009/06/072).

Record type: Article

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.

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Published date: 23 June 2009
Organisations: Comms

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Local EPrints ID: 144111
URI: https://eprints.soton.ac.uk/id/eprint/144111
PURE UUID: 4c39a38c-9444-4d93-84e2-87b1c294a42e

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Date deposited: 25 May 2010 08:55
Last modified: 11 Nov 2019 21:20

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