According to this news, Doom 4 will be released on May 13, 2016 on Xbox One, PlayStation 4 and PC.
A new trailer has been unveiled as well:
Get a closer look at the adrenaline-pumping, single-player campaign in the latest trailer for DOOM – the all-new FPS from id Software arriving worldwide on Xbox One, PlayStation 4, and PC on Friday, May 13th. As the iconic DOOM Marine, you wake to learn that the Union Aerospace Corporation’s facility on Mars has been decimated and overrun by hordes of demons. Humanity’s survival rests in your hands – and your hands alone. Fight Like Hell.
In DOOM’s campaign, there is no taking cover or stopping to regenerate health as you beat back Hell’s raging demon hordes. Combine your arsenal of futuristic and iconic guns, upgrades, movement and an advanced melee system to knock down, slash, stomp, crush, and blow apart demons in creative and violent ways.
Learn more about DOOM’s campaign, multiplayer, and its community tool, SnapMap, at the game’s official website, DOOM.com, and through featured content on Bethesda.net.