Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: FIMP and Muon ($g-2$) in a U$(1)_{L_{\mu}-L_{\tau}}$ Model   The tightening of the constraints on the standard thermal WIMP scenario has
forced physicists to propose alternative dark matter (DM) models. One of the
most popular alternate explanations of the origin of DM is the non-thermal
production of DM via freeze-in. In this scenario the DM never attains thermal
equilibrium with the thermal soup because of its feeble coupling strength
($\sim 10^{-12}$) with the other particles in the thermal bath and is generally
called the Feebly Interacting Massive Particle (FIMP). In this work, we present
a gauged U(1)$_{L_{\mu}-L_{\tau}}$ extension of the Standard Model (SM) which
has a scalar FIMP DM candidate and can consistently explain the DM relic
density bound. In addition, the spontaneous breaking of the
U(1)$_{L_{\mu}-L_{\tau}}$ gauge symmetry gives an extra massive neutral gauge
boson $Z_{\mu\tau}$ which can explain the muon ($g-2$) data through its
additional one-loop contribution to the process. Lastly, presence of three
right-handed neutrinos enable the model to successfully explain the small
neutrino masses via the Type-I seesaw mechanism. The presence of the
spontaneously broken U(1)$_{L_{\mu}-L_{\tau}}$ gives a particular structure to
the light neutrino mass matrix which can explain the peculiar mixing pattern of
the light neutrinos.

33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin