  We investigate the hot electrons generated from two-plasmon decay (TPD)
instability driven by laser pulses with intensity modulated by a frequency
$\Delta \omega_m$. Our primary focus lies on scenarios where $\Delta \omega_m$
is on the same order of the TPD growth rate $ \gamma_0$ ( $\Delta \omega_m \sim
\gamma_0$), corresponding to moderate laser frequency bandwidths for TPD
mitigation. With $\Delta \omega_m$ conveniently modeled by a basic two-color
scheme of the laser wave fields in fully-kinetic particle-in-cell simulations,
we demonstrate that the energies of TPD modes and hot electrons exhibit
intermittent evolution at the frequency $\Delta \omega_m$, particularly when
$\Delta \omega_m \sim \gamma_0$. With the dynamic TPD behavior, the overall
ratio of hot electron energy to the incident laser energy, $f_{hot}$, changes
significantly with $\Delta \omega_m$. While $f_{hot}$ drops notably with
increasing $\Delta \omega_m$ at large $\Delta \omega_m$ limit as expected, it
goes anomalously beyond the hot electron energy ratio for a single-frequency
incident laser pulse with the same average intensity when $\Delta \omega_m$
falls below a specific threshold frequency $\Delta \omega_c$. We find this
threshold frequency primarily depends on $\gamma_0$ and the collisional damping
rate of plasma waves, with relatively lower sensitivity to the density scale
length. We develop a scaling model characterizing the relation of $\Delta
\omega_c$ and laser plasma conditions, enabling the potential extention of our
findings to more complex and realistic scenarios.
