Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Neutrino Mass Matrix Subject to $\mu-\tau$ Symmetry and Invariant under
  a Cyclic Permutation   Neutrino masses arise via a seesaw mechanism and its mass hierarchy, with
assumption that heavy Majorana neutrino mass matrix subject to $\mu-\tau$
symmetry and invariant under a cyclic permutation, are evaluated. Within this
scenario, the neutrino masses:
$\left|m_{1}\right|=\left|m_{2}\right|<\left|m_{3}\right|$ are obtained, which
are incompatible with the experimental data. By modifying neutrino mass matrix
with the zero sum rule condition, the neutrino masses in inverted hierarchy:
$\left|m_{3}\right|<\left|m_{1}\right|<\left|m_{2}\right|$ are obtained.

18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math