Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Expansion of $U_{PMNS}$ and Neutrino mass matrix $M_{\nu}$ in terms of
  $sin\theta_{13}$ for Inverted Hierarchical case   The recent observational data supports the deviation from Tri-bimaximal (TBM)
mixings. Different neutrino mass models suggest the interdependency among the
observational parameters involving the mixing angles. On phenomenological
ground we try to construct the PMNS matrix $U_{PMNS}$ with certain analytic
structure satisfying the unitary condition, in terms of a single observational
parameter $sin\theta_{13}$. We hypothesise the three neutrino masses $m_{i}$ as
functions of $sin\theta_{13}$ and then construct the neutrino mass matrix
$M_{\nu}$. We assume the convergence of the model to TBM mixing when
$\theta_{13}$ is taken zero. This mass matrix so far obtained can be employed
for various applications including the estimation of matter-antimatter
asymmetry of the Universe.

14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph