Superradiant scattering of massive scalar field due to magnetically charged rotating black hole

Rotating black holes are well known to amplify the perturbing bosonic fields in certain parameter spaces. This phenomenon is popularly known as superradiance. In addition to rotation in the spacetime, charge plays a crucial role in the amplification process. In the present study, we have considered the spacetime of a magnetically charged rotating black hole emerging from the coupling of nonlinear electromagnetic field configuration to gravity. Due to this black hole spacetime, we have studied the scattering states of a massive scalar field and investigated the superradiant amplification process. We find that the magnetic charge of the spacetime affects the magnitude of the amplification and significantly enlarges the allowed frequency ranges for which superradiance happens. In comparison, our analysis reveals that some of the behaviours are quite similar to what has been found in the case of the Kerr-Newmann black hole. Moreover, we observe exact similarities in specific parameter spaces, which could imply a probable correspondence between the magnetically charged black hole and the Kerr-Newman black hole in certain scenarios. Such similarities could have important implications for observing the effects of the non-linear nature of electromagnetic fields in the vicinity of spinning black holes. In addition, we have investigated the superradiant instability regime due to the massive potential barrier and compared our results with that of the Kerr-Newmann black hole.