Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Intermediate left-right gauge symmetry, unification of couplings and
  fermion masses in SUSY $SO(10)\times S_4$   If left-right gauge theory occurs as an intermediate symmetry in a GUT then,
apart from other advantages, it is possible to obtain the see-saw scale
necessary to understand small neutrino masses with Majorana coupling of order
unity. Barring threshold or non-renormalizable gravitational effects, or
assumed presence of additional light scalar particles of unprescribed origin,
all other attempts to achieve manifest one-loop gauge coupling unification in
SUSY SO(10) with left-right intermediate symmetry have not been successful so
far. Attributing this failure to lack of flavor symmetry in the GUT, we show
how the spontaneous symmetry breaking of $SO(10)\times S_4$ leads to such
intermediate scale extending over a wide range, $M_R \simeq 5\times 10^{9}$ GeV
to $10^{15}$ GeV. All the charged fermion masses are fitted at the see-saw
scale, $M_N\simeq M_R \simeq 4 \times 10^{13}$ GeV which is obtained with
Majorana coupling $f_0 \simeq 1$. Using a constrained parametrization in which
CP-violation originates only from quark sector, besides other predictions made
in the neutrino sector, the reactor mixing angle is found to be $\theta_{13}
\simeq 3^{\circ} - 5^{\circ}$ which is in the range accessible to ongoing and
planned experiments. The leptonic Dirac phase turns out to be $\delta \sim 2.9-
3.1$ radians with Jarlskog invariant $J \sim 2.95 \times 10^{-5} - 10^{-3}$.

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The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: econ
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat