Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Neutrino masses and mixing in $A_5$ with flavour antisymmetry   We discuss consequences of assuming that the (Majorana) neutrino mass matrix
$M_\nu$ and the charged lepton mass matrix $M_l$ satisfy, $S_\nu^T M_\nu
S_\nu=-M_\nu~,T_l^\dagger M_lM_l^\dagger T_l=M_lM_l^\dagger$ with respect to
some discrete groups $S_\nu,T_l$ contained in $A_5$. These assumptions lead to
a neutrino mass spectrum with two degenerate and one massless neutrino and also
constrain mixing among them. We derive possible mixing patterns following from
the choices $S_\nu=Z_2,~ Z_2\times Z_2$ and $T_l=Z_2, ~ Z_2\times Z_2, ~Z_3,
~Z_5$ as subgroups of $A_5$. One predicts the maximal atmospheric neutrino
mixing angle $\theta_{23}$ and $\mu$-$\tau$ reflection symmetry in large number
of cases but it is also possible to obtain non-maximal values for
$\theta_{23}$. Only the third column of the neutrino mixing matrix can be
obtained at the leading order due to degeneracy in masses of two of the
neutrinos. We take up a specific example within $A_5$ group and identify Higgs
vacuum expectations values which realize the above assumptions. Non-leading
terms present in this example are shown to lead to splitting among degenerate
pairs and a consistent description of both neutrino masses and mixing angles.

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The categories of this paper are: nlin
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The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: chem-ph