$\tt GrayHawk$: A public code for calculating the Gray Body Factors of massless fields around spherically symmetric Black Holes

Abstract: We introduce and describe $\tt GrayHawk$, a publicly available Mathematica-based tool designed for the efficient computation of gray-body factors for spherically symmetric and asymptotically flat black holes. This program provides users with a rapid and reliable means to compute gray-body factors for massless fields with spin (s = 0, 1/2, 1, 2) in modes specified by the angular quantum number (l), given a black hole metric and the associated parameter values. $\tt GrayHawk$ is preloaded with seven different black hole metrics, offering immediate applicability to a variety of theoretical models. Additionally, its modular structure allows users to extend its functionality easily by incorporating alternative metrics or configurations. This versatility makes $\tt GrayHawk$ a powerful and adaptable resource for researchers studying black hole physics and Hawking radiation. The codes described in this work are publicly available at https://github.com/marcocalza89/GrayHawk.