Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Radiatively generated hierarchy of lepton and quark masses   We propose a model for radiatively generating the hierarchy of the Standard
Model (SM) fermion masses: tree-level top quark mass; 1-loop bottom, charm, tau
and muon masses; 2-loop masses for the light up, down and strange quarks as
well as for the electron; and 4-loop masses for the light active neutrinos. Our
model is based on a softly-broken $S_{3}\times Z_{2}$ discrete symmetry. Its
scalar sector consists only of one SM Higgs doublet and three electrically
neutral SM-singlet scalars. We do not need to invoke either electrically
charged scalar fields, or an extra $SU_{2L}$ scalar doublet, or the spontaneous
breaking of the discrete group, which are typical for other radiative models in
the literature. The model features a viable scalar dark matter candidate.

31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn