Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bilarge Neutrino Mixing and Abelian Flavor Symmetry   We explore two bilarge neutrino mixing anz$\ddot{a}$tze within the context of
Abelian flavor symmetry theories: ($\mathrm{\tt BL_1}$)
$\sin\theta_{12}\sim\lambda$, $\sin\theta_{13}\sim\lambda$,
$\sin\theta_{23}\sim\lambda$, and ($\mathrm{\tt BL_2}$)
$\sin\theta_{12}\sim\lambda$, $\sin\theta_{13}\sim\lambda$,
$\sin\theta_{23}\sim 1-\lambda$. The first pattern is proposed by two of us and
is favored if the atmospheric mixing angle $\theta_{23}$ lies in the first
octant, while the second one is preferred for the second octant of
$\theta_{23}$. In order to reproduce the second texture, we find that the
flavor symmetry should be $U(1)\times Z_m$, while for the first pattern the
flavor symmetry should be extended to $U(1)\times Z_m\times Z_n$ with $m$ and
$n$ of different parity. Explicit models for both mixing patterns are
constructed based on the flavor symmetries $U(1)\times Z_3\times Z_4$ and
$U(1)\times Z_2$. The models are extended to the quark sector within the
framework of SU(5) grand unified theory in order to give a successful
description of quark and lepton masses and mixing simultaneously.
Phenomenological implications are discussed.

18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg