Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Neutrino meets ultralight dark matter: $\boldsymbol{0\nu\beta\beta}$
  decay and cosmology   We explore the neutrinoless double beta ($0\nu \beta\beta$) decay induced by
an ultralight dark matter field coupled to neutrinos. The effect on
$0\nu\beta\beta$ decay is significant if the coupling violates the lepton
number, for which the $\Delta L=2$ transition is directly driven by the dark
matter field without further suppression of small neutrino masses. As the
ultralight dark matter can be well described by a classical field, the effect
features a periodic modulation pattern in decay events. However, we find that
in the early Universe such coupling will be very likely to alter the standard
cosmological results. In particular, the requirement of neutrino free-streaming
before the matter-radiation equality severely constrains the parameter space,
such that the future $0\nu \beta\beta$ decay experiments can hardly see any
signal even with a meV sensitivity to the effective neutrino mass.

28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn