1992/09/04 by K. S. Babu, R. N. Mohapatra · 1 citation
Physics and Astronomy · #hep-ph
paper · pdf · doi:10.1103/physrevlett.70.2845
published as Phys.Rev.Lett.70:2845-2848,1993 · 14 pages, Latex
arxiv created 1992/09/04 · arxiv updated 2010/11/01
We show that minimal SO(10) Grand Unification models where the fermions have Yukawa couplings to only one (complex) \bf 10 and one \bf 126 of Higgs scalars lead to a very predictive neutrino spectrum. This comes about since the standard model doublet contained in the \bf 126 of Higgs (needed for the see--saw mechanism) receives an induced vacuum expectation value at tree--level, which, in addition to correcting the bad asymptotic mass relations md=me and ms=mμ, also relates the Majorana neutrino mass matrix to observables in the charged fermion sectors. We find that (i) the νe-νμ mixing angle relevant for the solar neutrinos can be considerably smaller than the Cabibbo angle and lies in the range \rm sinθe μ= 0-0.3, (ii) νe-ντ mixing is sinθe τ ≃ 3|Vtd| ≃ 0.05, (iii) the νμ-ντ mixing angle is large, \rm sinθμτ ≃ 3|Vcb|=0.12-0.16, and (iv) mντ/mνμ ≥ 103, implying that νμ-ντ oscillations should be accessible to forthcoming experiments.