Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Neutrino mixing in SO(10) GUTs with non-abelian flavor symmetry in the
  hidden sector   The relation between the mixing matrices of leptons and quarks:
$U_{\rm{PMNS}} \approx V_{\rm{CKM}}^\dagger U_0$, where $U_0$ is a matrix of
special forms (e.g. BM, TBM), can be a clue for understanding the lepton mixing
and neutrino masses. It may imply the Grand unification and existence of a
hidden sector with certain symmetry which generates $U_0$ and leads to the
smallness of neutrino masses. We apply the residual symmetry approach to obtain
$U_0$. The residual symmetries of both the visible and hidden sectors are
$\mathbb{Z}_{2} \times \mathbb{Z}_{2}$. Their embedding in a unified flavor
group is considered. We find that there are only several possible structures of
$U_0$, including the BM mixing and matrices with elements determined by the
golden ratio. Realization of the BM scenario based on the $SO(10)$ GUT with the
$S_4$ flavor group is presented. Generic features of this scenario are
discussed, in particular, the prediction of CP phase
$144^{\circ}\lesssim\delta_{\rm CP}\lesssim 210^{\circ}$ in the minimal
version.

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The categories of this paper are: math
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The categories of this paper are: adap-org
9
The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom