Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the ambiguities in the tri-bimaximal mixing matrix and corresponding
  charged lepton corrections   Two negative signs naturally appear in the $U_{\mu 1}$ and $U_{\tau 2}$
elements of the Tri-bimaximal (TBM) matrix for positive values of the mixing
angles $\theta_{12}$ and $\theta_{23}$. Apart from this, in other TBM matrices
negative signs are shifted to other elements in each case. They account for
positive as well as negative values of $\theta_{12}$ and $\theta_{23}$. We
discuss the sign ambiguity in the TBM matrix and find that the TBM matrices, in
fact, can be divided into two groups under certain circumstances.
Interestingly, this classification of TBM matrices is accompanied by two
different $\mu-\tau$ symmetric mass matrices which can separately be related to
the groups. To accommodate non-zero value of $\theta_{13}$ and deviate
$\theta_{23}$ towards first octant, we then perturb the TBM mixing ansatz with
the help of charged lepton correction. The diagonalizing matrices for charged
lepton mass matrices also possess sign ambiguity and respect the grouping of
TBM matrices. They are parametrized in terms of the Wolfenstein parameter
$\lambda$ and satisfy unitarity condition up to second order in $\lambda$.

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The categories of this paper are: math
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn