The Friedberg-Lee Symmetry and Minimal Seesaw Model

Details The Friedberg-Lee Symmetry and Minimal Seesaw Model The Friedberg-Lee Symmetry and Minimal Seesaw Model

2009-09-08

arxiv.org/abs/0909.1463v3

Phys.Lett.B681:253-256,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, no figure, version to appear in PLB

Scientific paper

10.1016/j.physletb.2009.10.010

The Friedberg-Lee (FL) symmetry is generated by a transformation of a fermionic field $q$ to $q + \xi z$. This symmetry puts very restrictive constraints on allowed terms in a Lagrangian. Applying this symmetry to $N$ fermionic fields, we find that the number of independent fields is reduced to $N-1$ if the fields have gauge interaction or the transformation is a local one. Using this property, we find that a seesaw model originally with three generations of left- and right-handed neutrinos, with the left-handed neutrinos unaffected but the right-handed neutrinos transformed under the local FL translation, is reduced to an effective theory of minimal seesaw which has only two right-handed neutrinos. The symmetry predicts that one of the light neutrino masses must be zero.

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