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Massive and Massless Neutrinos on Unbalanced Seesaws  Zhizhong Xing
;  Date: 
1 Jun 2007  Abstract:  The observation of neutrino oscillations requires new physics beyond the
standard model (SM). A SMlike gauge theory with p lepton families can be
extended by introducing q heavy righthanded Majorana neutrinos but preserving
its SU(2)_L x U(1)_Y gauge symmetry. The overall neutrino mass matrix M turns
out to be a symmetric (p+q) x (p+q) matrix. Given p>q, the rank of M is in
general equal to 2q, corresponding to 2q nonzero mass eigenvalues. The
existence of (pq) massless lefthanded Majorana neutrinos is an exact
consequence of the model, independent of the usual approximation made in
deriving the TypeI seesaw relation between the effective p x p light Majorana
neutrino mass matrix M_
u and the q x q heavy Majorana neutrino mass matrix
M_R. In other words, the numbers of massive left and righthanded neutrinos
are fairly matched. A good example to illustrate this seesaw fair play rule is
the minimal seesaw model with p=3 and q=2, in which one massless neutrino sits
on the unbalanced seesaw.  Source:  arXiv, arxiv.0706.0052  Services:  Forum  Review  PDF  Favorites 


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