Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Light gauge boson interpretation for $(g-2)_\mu$ and the $K_L
  \rightarrow \pi^0 + \text{(invisible)}$ anomaly at the J-PARC KOTO experiment   We discuss a list of possible light gauge boson interpretations for the
long-standing experimental anomaly in $(g-2)_\mu$ and also recent anomalous
excess in $K_L \rightarrow \pi^0 + \text{(invisible)}$ events at the J-PARC
KOTO experiment. We consider two models: $i$) $L_\mu - L_\tau$ gauge boson with
heavy vector-like quarks and $ii$) $(L_\mu - L_\tau) + \epsilon (B_3 - L_\tau)$
gauge boson in the presence of right-handed neutrinos. When the light gauge
boson has mass close to the neutral pion in order to satisfy the Grossman-Nir
bound, the models successfully explain the anomalies simultaneously while
satisfying all known experimental constraints. We extensively provide the
future prospect of suggested models.

29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con