  In this paper, we probe in 4D Einstein-Gauss-Bonnet black hole and its
thermodynamics. We illustrate the three asymptotically 4D EGB spacetime as an
asymptotically flat, de Sitter, and Anti-de Sitter. Also, we apply the
tunneling of the massless particles from the horizon of 4D EGB gravity and we
investigate the correlation between the emission modes and temperature of the
horizon. In asymptotically flat spacetime, the existence of the coupling
constant alone constructs the regular spacetime, the radiation deviates from
the pure thermal, and the temperature of the black hole horizon would be zero
in the final stage of the black hole evaporation. In Asymptotically de Sitter
spacetime, results illustrate that the evolution of the temperatures is in
direction of the remaining rest mass with the probably same temperature for the
black hole and the cosmological horizon. In addition, the exciting result is
that temperature behaviors exactly match with the temperature behaviors of a
regular black hole in Lovelock gravity in a higher dimension.
