It's official: Oscar-winning screenwriter Aaron Sorkin and Sex and the City actress Kristin Davis are dating. The couple, who have been unofficially linked, showed up together — and kissed! — on the red carpet Wednesday night at the premiere of Sorkin's new HBO series The Newsroom.

"It's been going on for around six weeks," an inside source told E! News. "They are really happy. They have actually known each other a while through mutual friends and would sometimes bump into one another at industry events, but it has only just turned into something more."

Sorkin, 51, divorced Julia Bingham in 2005, while Davis, 47, has never married. She did, however, adopt a baby girl, Gemma Rose, last year.

Check out this photo of Sorkin and Davis together:

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