  In the present paper we study the Hawking radiation as a quantum tunneling
effect of spin-$1$ particles from a five-dimensional, spherically symmetric,
Einstein-Yang-Mills-Gauss-Bonnet (5D EYMGB) black hole. We solve the Proca
equation (PE) by applying the WKB approximation and separation of variables via
Hamilton-Jacobi (HJ) equation which results in a set of five differential
equations, and reproduces in this way, the Hawking temperature. In the second
part of this paper, we extend our results beyond the semiclassical
approximation. In particular, we derive the logarithmic correction to the
entropy of the 5D EYMGB black hole and show that the quantum corrected specific
heat indicates the possible existence of a remnant.
