Simon Cowell and Paula Abdul are back together again, hoping to recapture their TV chemistry for a new Fox talent show. The network announced Sunday that the two former “American Idol” judges have reunited to assess would-be singing stars on Cowell’s “The X Factor,” debuting this fall. It was reported on Saturday that Abdul had signed to be part of the panel, which taped its first judging session Sunday. Fox and the show’s producers sought maximum drama by keeping Abdul’s status under wraps until she appeared for the taping. Glammed up in a shoulder-baring purple dress and purple stilettos, Abdul greeted Cowell with a hug outside the University of Southern California auditorium where contestants were set to audition. Besides the longtime TV sparring partners, the judges include British pop star Cheryl Cole and Grammy-winning producer Antonio “L.A.” Reid.