NEW YORK (AP) -- Jennifer Lopez and Marc Anthony's marriage has hit a sour note: The superstar couple announced Friday they are breaking up. The two married in 2004 and have 3-year-old twins, Max and Emme. In a Friday statement to The Associated Press from Lopez's publicist, the pair called the decision to end their marriage a "very difficult decision." They said they have come to an "amicable decision" on all matters and asked for privacy. It's Lopez's third marriage, Anthony's second.