Effects of modified gravity black holes on the bounds of greybody factor

The study of greybody factor helps us to understand the quantum nature of the black hole. Gravitational potentials and bounds on the greybody factors for some well known black holes are developed and we investigate the influence of Born-Infeld and massive gravity parameters on them. It is observed that greybody factor bounds depend on the shape of effective potential. For higher values of effective potential, it becomes difficult for the waves to transmit and hence reduces the greybody factor bounds. It is also worthwhile to mention here that charge works as barrier and cosmological constant increases the emission rate of Hawking radiation. It is also observed that the energy of emitted particles increases which results in the enhancement of the greybody factor bound. We also discuss the relationship of transmission probability and reflection probability.