Quantum radiation of Kerr black hole in de Sitter background

In this paper, we investigate the tunneling of vector boson particles across the event horizon of Kerr-de Sitter black hole by using Hamilton-Jacobi ansatz to Proca equation and WKB approximation. The surface gravity of KdS black hole has been recovered by using direct calculation and Proca equation. These two different methods give the same Hawking temperature at the event horizon.