According to The Hollywood Reporter Danny E. and T Bone Burnett will collaborate on the movie score and soundtrack. They also include a statement from Lionsgate:
Veteran producer and 12-time Grammy winner T Bone Burnett (Crazy Heart, Robert Plant and Allison Krauss’s Raising Sand) will team up with award-winning composer Danny Elfman (Alice in Wonderland, Spider-Man) for an unprecedented collaboration. Burnett will also serve as the film’s Executive Music Producer, producing songs for the film and soundtrack.
“The Hunger Games is such a special property,” said Lionsgate’s Head of Film Music Tracy McKnight in a statement. “It has worldwide mass appeal, but it’s also sophisticated, cerebral, soulful and rebellious. We needed a composer who can translate these qualities musically, and we have not one but two incredible artists in an absolutely thrilling first time ever collaboration.”