Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A $U(1)_{X}$ extension to the SM with three families and Peccei Quinn
  symmetry   We propose a non-universal $U(1)_{X}$ extension to the Standard Model with
three families and an additional global anomala Peccei-Quinn (PQ) symmetry. The
breaking of the former allows us to give masses to the exotic fermionic sector
and the later generates the necessary zeros in the mass matrices to explain the
fermionic mass hierarchy. In addition, the large energy scale associated with
the spontaneously breaking (SSB) of the PQ symmetry provides a solution to the
strong CP-problem and an axion that could be a possible dark matter candidate.
Also, the SSB allows to generate right-handed neutrino masses, so the active
neutrinos acquire $eV$-mass values due to the see-saw mechanism implementation.

36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol