Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Neutrino propagation in nuclear medium and neutrinoless double-beta
  decay   We discuss a novel effect in neutrinoless double beta (0{\nu}{\beta}{\beta})
decay related with the fact that its underlying mechanisms take place in the
nuclear matter environment. We study the neutrino exchange mechanism and
demonstrate the possible impact of nuclear medium via Lepton Number Violating
(LNV) 4-fermion interactions of neutrino with quarks from decaying nucleus. The
net effect of these interactions is generation of an effective in-medium
Majorana neutrino mass matrix. The enhanced rate of the
0{\nu}{\beta}{\beta}-decay can lead to the apparent incompatibility of
observations of the 0{\nu}{\beta}{\beta}-decay with the value of the neutrino
mass determined or restricted by the {\beta}-decay and cosmological data. The
effective neutrino masses and mixing are calculated for the complete set of the
relevant 4-fermion neutrino-quark operators. Using experimental data on the
0{\nu}{\beta}{\beta}-decay in combination with the {\beta}-decay and
cosmological data we evaluate the characteristic scales of the LNV operators:
{\Lambda} > 2.4 TeV.

27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg