Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Prospects for Measurement of the Neutrino Mass Hierarchy   The unknown neutrino mass hierarchy -- whether the $\nu_3$ mass eigenstate is
the heaviest or the lightest -- represents a major gap in our knowledge of
neutrino properties. Determining the hierarchy is a critical step toward
further precision measurements in the neutrino sector. The hierarchy is also
central to interpreting the next generation of neutrinoless double beta decay
results, plays a role in numerous cosmological and astrophysical questions, and
serves as a powerful model discriminant for theories of neutrino mass
generation and unification. Various current and planned experiments claim
sensitivity for establishing the neutrino mass hierarchy. We review the most
promising of these here, paying special attention to points of concern and
consolidating the projected sensitivities into an outlook for the years ahead.

2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex