  We investigate the possibility to interpret the muon $g-2$ anomaly in terms
of a massive spin-2 particle, $G$, which can be identified as the first
Kaluza-Klein graviton in the generalized Randall-Sundrum model. In particular,
we obtain the leading-order contributions to the muon $g-2$ by calculating the
relevant one-loop Feynman diagrams induced by $G$. The analytic expression is
shown to keep the gauge invariance of the quantum electrodynamics and to be
consistent with the expected UV divergence structure. Moreover, we impose the
theoretical bounds from the perturbativity and the experimental constraints
from LHC and LEP-II on our model. Especially, we derive novel perturbativity
constraints on nonrenormalizable operators related to $G$, which are the
natural generalization of the counterpart for the renormalizable operators. As
a result, we show that there exists a substantial parameter space, which can
accommodate the muon $g-2$ anomaly allowed by all constraints. Finally, we also
make comments on the possible explanation of the electron $g-2$ anomalies with
the massive spin-2 particle.

High Energy Physics - Phenomenology