Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Predictive Neutrino Spectrum in Minimal $SO(10)$ Grand Unification   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
$m_d=m_e$ and $m_s=m_\mu$, also relates the Majorana neutrino mass matrix to
observables in the charged fermion sectors. We find that (i) the
$\nu_e-\nu_{\mu}$ mixing angle relevant for the solar neutrinos can be
considerably smaller than the Cabibbo angle and lies in the range ${\rm
sin}\theta_{e \mu}= 0-0.3$, (ii) $\nu_e-\nu_\tau$ mixing is sin$\theta_{e \tau}
\simeq 3|V_{td}| \simeq 0.05$, (iii) the $\nu_\mu-\nu_\tau$ mixing angle is
large, ${\rm sin}\theta_{\mu \tau} \simeq 3|V_{cb}|=0.12-0.16$, and (iv)
$m_{\nu_\tau}/m_{\nu_\mu} \ge 10^3$, implying that $\nu_{\mu}-\nu_\tau$
oscillations should be accessible to forthcoming experiments.

22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph