DEEP SIXED: We don’t always hunger for details about the private lives of the captains of industry, but when we do, we prefer Page Six. This morning, we learn that Clive Davis threw a Memorial Day party on Saturday at his Pound Ridge estate, with Joan Rivers, Patti LuPone, Neil Sedaka, Valerie Simpson and Arnold Stiefel among more than 60 guests. So what did musical offerings did His Cliveness select for the bash? Shrewdly, he went for the latest offerings from Daft Punk, Justin Timberlake and P!nk for the chit-chat portion of the soiree, transitioning to a soundtrack of Frank Sinatra, Aretha Franklin and Rod Stewart for the lavish sit-down dinner... This morning’s column also reveals that Scooter Braun “has found time for love,” in Page Six terminology. The item continues thusly: “The multitasking music man… has been dating entrepreneur Yael Cohen, the founder of nonprofit ‘F - - k Cancer.’ Braun and Cohen have been dating for a few months but ‘keeping it quiet,’ said a source. But a Twitter feed, @Justinbiebers, last week outed the couple by tweeting, ‘Ohhhhh so Scooter has a girlfriend and we didn’t even know . . . hmm her name is Yael. Too cute!’ Cohen was also spotted with Braun at the Billboard Music Awards a few weeks ago. Neither got back to us for comment.” (5/29a)