A behind-the-scenes video features Davidge as he composes the game's score with a hand-picked choir and full 50-piece orchestra at Abbey Road and Angel Studios in London.
The award-winning composer, record producer, songwriter and musician is best known for co-writing and producing the last three albums by pioneering trip hop group Massive Attack.
"As a passionate Halo fan, I'm incredibly honoured and thrilled to have the opportunity to compose the score for Halo 4," said Davidge.
"Music has always been at the heart of what makes Halo so captivating and iconic. With Halo 4, we want to build upon the franchise's amazing legacy and create a score that captures the awe and wonder of the Halo universe, and reinforces the deeper and more emotionally impactful journey Master Chief will embark on."
This marks the first Halo game that will not be scored by series composer Martin O'Donnell.
Halo 4's multiplayer was recently revealed, allowing players to customise their own Spartan IV and battle on maps designed for competition with random weapon drops.
There will also be an episodic co-operative campaign, with free to download Spartan Ops missions released over several months.
Halo 4 was unveiled at last summer's E3 in Los Angeles. The game will kick off a new Xbox 360 trilogy, following on from the events of Halo 3.
Halo 4 will be available exclusively on Xbox 360 for the holidays.
Listen to preview samples from Halo 4's soundtrack below:
Picture gallery - composing Halo 4 in the studio