  We investigate the differential emission rate of neutral scalar bosons from a
highly magnetized relativistic plasma. We show that three processes contribute
at the leading order: particle splitting ($\psi\rightarrow \psi+\phi $),
antiparticle splitting ($\bar{\psi} \rightarrow \bar{\psi}+\phi $), and
particle-antiparticle annihilation ($\psi + \bar{\psi}\rightarrow \phi $). This
is in contrast to the scenario with zero magnetic field, where only the
annihilation processes contribute to boson production. We examine the impact of
Landau-level quantization on the energy dependence of the rate and investigate
the angular distribution of emitted scalar bosons. The differential rate
resulting from both (anti)particle splitting and annihilation processes are
typically suppressed in the direction of the magnetic field and enhanced in
perpendicular directions. Overall, the background magnetic field significantly
amplifies the total emission rate. We speculate that our model calculations
provide valuable theoretical insights with potentially important applications.
