Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Predicting neutrino parameters from SO(3) family symmetry and
  quark-lepton unification   We show how the neutrino mixing angles and oscillation phase can be predicted
from tri-bimaximal neutrino mixing, corrected by charged lepton mixing angles
which are related to quark mixing angles via quark-lepton unification. The
tri-bimaximal neutrino mixing can naturally originate from the see-saw
mechanism via constrained sequential dominance (CSD), where CSD can result from
the vacuum alignment of a non-Abelian family symmetry such as SO(3). We
construct a realistic model of quark and lepton masses and mixings based on
SO(3) family symmetry with quark-lepton unification based on the Pati-Salam
gauge group. The atmospheric angle is predicted to be approximately maximal
$\theta_{23}= 45^\circ$, corrected by the quark mixing angle
$\theta_{23}^{\mathrm{CKM}}\approx 2.4^\circ$, with the correction controlled
by an undetermined phase in the quark sector. The solar angle is predicted by
the tri-bimaximal complementarity relation: $\theta_{12}+
\frac{1}{\sqrt{2}}\frac{\theta_{\mathrm{C}}}{3} \cos (\delta - \pi) \approx
35.26^\circ $, where $\theta_{\mathrm{C}}$ is the Cabibbo angle and $\delta$ is
the neutrino oscillation phase. The reactor angle is predicted to be
$\theta_{13} \approx \frac{1}{\sqrt{2}}\frac{\theta_{\mathrm{C}}}{3}\approx
3.06^\circ$. The MNS neutrino oscillation phase $\delta$ is predicted in terms
of the solar angle to be $\cos (\delta - \pi) \approx (35.26^\circ -
\theta_{12}^\circ)/3.06^\circ $. These predictions can all be tested by future
high precision neutrino oscillation experiments, thereby probing the nature of
high energy quark-lepton unification.

16
The categories of this paper are: stat
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas