Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimally Allowed Neutrinoless Double Beta Decay Rates From Approximate
  Flavor Symmetries   Neutrinoless double beta decay ($\beta\beta0\nu$) is among the only realistic
probes of Majorana neutrinos. In the standard scenario, dominated by light
neutrino exchange, the process amplitude is proportional to $m_{ee}$, the $e-e$
element of the Majorana mass matrix. Naively, current data allows for vanishing
$m_{ee}$, but this should be protected by an appropriate flavor symmetry. All
such symmetries lead to mass matrices inconsistent with oscillation
phenomenology. I perform a spurion analysis to break all possible Abelian
symmetries that guarantee vanishing $\beta\beta0\nu$ rates and search for
minimally allowed values. I survey 230 broken structures to yield $m_{ee}$
values and current phenomenological constraints under a variety of scenarios.
This analysis also extracts predictions for both neutrino oscillation
parameters and kinematic quantities. Assuming reasonable tuning levels, I find
that $m_{ee}>4\times 10^{-6}$ eV at 99% confidence. Bounds below this value
might indicate the Dirac neutrino nature or the existence of new light (eV-MeV
scale) degrees of freedom that can potentially be probed elsewhere.

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The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: eess
30
The categories of this paper are: q-alg
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The categories of this paper are: stat
1
The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin