  We investigate the Dirac and Klein-Gordon equations, as well as greybody
radiation, for the Hayward black hole (BH) spacetime. We first consider the
Dirac equation using a null tetrad in the Newman- Penrose (NP) formalism. The
equations are then separated into angular and radial parts. A pair of
one-dimensional Schr\"odinger like wave equations with effective potentials is
obtained from the radial part. In order to examine the behavior of potentials,
they are plotted with respect to radial distances. Additionally, the
Klein-Gordon equation is considered in the Hayward BH spacetime. At the end, we
compute greybody factors for bosons and fermions and our results are shown
graphically and discussed.
