Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Final results of the Aurora experiment to study 2$\beta$ decay of
  $^{116}$Cd with enriched $^{116}$CdWO$_4$ crystal scintillators   The double-beta decay of $^{116}$Cd has been investigated with the help of
radiopure enriched $^{116}$CdWO$_4$ crystal scintillators (mass of 1.162 kg) at
the Gran Sasso underground laboratory. The half-life of $^{116}$Cd relatively
to the $2\nu2\beta$ decay to the ground state of $^{116}$Sn was measured with
the highest up-to-date accuracy as
$T_{1/2}=(2.63^{+0.11}_{-0.12})\times10^{19}$ yr. A new improved limit on the
0$\nu$2$\beta$ decay of $^{116}$Cd to the ground state of $^{116}$Sn was set as
$T_{1/2}\geq 2.2 \times 10^{23}$ yr at 90\% C.L., which is the most stringent
known restriction for this isotope. It corresponds to the effective Majorana
neutrino mass limit in the range $\langle m_\nu\rangle\le(1.0-1.7)$ eV,
depending on the nuclear matrix elements used in the estimations. New improved
half-life limits for the 0$\nu$2$\beta$ decay with majoron(s) emission,
Lorentz-violating $2\nu2\beta$ decay and $2\beta$ transitions to excited states
of $^{116}$Sn were set at the level of $T_{1/2}\geq 10^{20}-10^{22}$ yr. New
limits for the hypothetical lepton-number violating parameters (right-handed
currents admixtures in weak interaction, the effective majoron-neutrino
coupling constants, R-parity violating parameter, Lorentz-violating parameter,
heavy neutrino mass) were set.

35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int