Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Obtaining nonvanishing $\theta_{13}$ with constrained neutrino Yukawa
  matrix and implications for flavor model buildings   Assuming a diagonal Majorana neutrino mass matrix, we investigate the
neutrino Yukawa textures which lead to a non-zero reactor mixing angle
$\theta_{13}$. The neutrino effective coupling matrix $\kappa^{eff}$ is
pre-diagonalized by a constant mixing pattern $V_{\nu}$ with a vanishing
$\theta^{\nu}_{13}$. The resulting pre-diagonal symmetrical matrix $\kappa$ is
set to be four texture zeros with two types of off-diagonal elements nonzero,
which is $\kappa_{13}$ and $\kappa_{23}$, respectively. With the expectation of
simple textures we thoroughly classify the linear combinations, $\alpha_{i}$,
$\beta_{i}$ and $\gamma_{i}$ of Yukawa elements $\lambda_{ij}$ in a same row,
according to the values vanishing or not. Each set of the classifications can
lead to a Yukawa texture which may have implications for the discrete flavor
model buildings. We also present a model based on $A_{4}$ according to one set
of the constraints on the three combinations with a specific choice of a
coefficient in Yukawa texture.

31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin