Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Power of Neutrino Mass Sum Rules for Neutrinoless Double Beta Decay
  Experiments   Neutrino mass sum rules relate the three neutrino masses within generic
classes of flavour models, leading to restrictions on the effective mass
parameter measured in experiments on neutrinoless double beta decay as a
function of the lightest neutrino mass. We perform a comprehensive study of the
implications of such neutrino mass sum rules, which provide a link between
model building, phenomenology, and experiments. After a careful explanation of
how to derive predictions from sum rules, we discuss a large number of examples
both numerically, using all three global fits available for the neutrino
oscillation data, and analytically wherever possible. In some cases, our
results disagree with some of those in the literature for reasons that we
explain. Finally we discuss the experimental prospects for many current and
near-future experiments, with a particular focus on the uncertainties induced
by the unknown nuclear physics involved. We find that, in many cases, the power
of the neutrino mass sum rules is so strong as to allow certain classes of
models to be tested by the next generation of neutrinoless double beta decay
experiments. Our study can serve as both a guideline and a theoretical
motivation for future experimental studies.

36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin