Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Predictive Framework with a Pair of Degenerate Neutrinos at a high scale   Radiative generation of the solar scale $\Delta_{\odot}$ is discussed in the
presence of leptonic CP violation. We assume that both the solar scale and
$U_{e3}$ are zero at a high scale and the weak radiative corrections generate
them. It is shown that all leptonic mass matrices satisfying these requirements
lead to a unique prediction $\Delta_{\odot} \cos 2\theta_{\odot}\approx 4
\delta_\tau \sin^2 \theta_A |m_{ee}|^2$ for the solar scale in terms of the
radiative correction parameter $\delta_\tau$, the physical solar (atmospheric)
mixing angles $\theta_{odot} (\theta_A)$ and the Majorana neutrino mass
$m_{ee}$ probed in neutrinoless double beta decay. This relation is independent
of the mixing matrix and CP-violating phases at the high scale. The presence of
CP-violating phases leads to dilution in the solar mixing angle defined at the
high scale. Because of this, bi-maximal mixing pattern at the high energy leads
to large but non-maximal solar mixing in the low-energy theory. An illustrative
model with this feature is discussed.

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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: physics
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The categories of this paper are: patt-sol