Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Majorana neutrino mass constraints in the landscape of nuclear matrix
  elements   We discuss up-to-date constraints on the Majorana neutrino mass
$m_{\beta\beta}$ from neutrinoless double beta decay ($0\nu\beta\beta$)
searches in experiments using different isotopes: KamLAND-Zen and EXO
($^{136}$Xe), GERDA and MAJORANA ($^{76}$Ge) and CUORE ($^{130}$Te). Best fits
and upper bounds on $m_{\beta\beta}$ are explored in the general landscape of
nuclear matrix elements (NME), as well as for specific NME values obtained in
representative nuclear models. By approximating the likelihood of
$0\nu\beta\beta$ signals through quadratic forms, the analysis of separate and
combined isotope data becomes exceedingly simple, and allows to clarify various
aspects of multi-isotope data combinations. In particular, we analyze the
relative impact of different data in setting upper bounds on $m_{\beta\beta}$,
as well as the conditions leading to nonzero $m_{\beta\beta}$ at best fit, for
variable values of the NMEs. Detailed results on $m_{\beta\beta}$ from various
combinations of data are reported in graphical and numerical form. Implications
for future $0\nu\beta\beta$ data analyses and NME calculations are briefly
discussed.

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The categories of this paper are: astro-ph
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The categories of this paper are: cs
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org