Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spontaneous Peccei-Quinn symmetry breaking renders sterile neutrino,
  axion and $\chi$boson to be candidates for dark matter particles   We study the Peccei-Quinn (PQ) symmetry of sterile right-handed neutrino
sector and the gauge symmetries of the Standard Model (SM). Due to four-fermion
interactions, spontaneous breaking of these symmetries at the electroweak scale
generates top-quark Dirac mass and sterile neutrino Majorana mass. The top
quark channels yields massive Higgs, $W^\pm$ and $Z^0$ bosons. The sterile
neutrino channel yields the heaviest sterile neutrino Majorana mass, sterile
Nambu-Goldstone axion (or majoron) and massive scalar $\chi$boson ($m_\chi\sim
10^2$ GeV). Their tiny couplings to SM particles are effectively induced by
four-fermion operators. We show that such sterile axion is the PQ solution to
the strong CP problem. The lightest sterile neutrino ($m_N^e\sim 10^2$ keV),
sterile QCD axion ($m_a< 10^{-6}$ eV, $g_{a\gamma}< 10^{-13} {\rm GeV}^{-1}$)
and $\chi$boson can be dark matter particle candidates, for their tiny
couplings and long lifetimes inferred from the Xenon1T experiment. The axion
and $\chi$boson couplings to SM particles are below the values reached by
current laboratory experiments and astrophysical observations for directly or
indirectly detecting dark matter particles.

19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs