According to At Ease and Variety, Radiohead contributed “sound experiments” to John O’Brien’s Stone score. Ed Norton, who stars in the film with Robert De Niro, told Variety that he’d been friends with the band for a while, and met with Jonny Greenwood while developing the script with director John Curran:
So given the spiritual ties in this film, I started talking to him about this idea: ‘What would you use to record this divine-like tuning sound?’ And he and Thom (Yorke) had been playing a lot of weird ambient stuff at the time and so, amazingly, they just unloaded tons and tons of files to us of these sound experiments that they had been doing. We just listened to them in awe until John (Curran) eventually got John O’Brien to come in and see what he could make of it.
As At Ease says, there’s no indication that any of their music appears in the Stone trailer, but you shouldn’t miss the opportunity to see Norton in cornrows: