The Oscar winner and writer Matthew Carnahan welcome daughter Makena, PEOPLE reports

Helen Hunt has something new to be madly in love with: a baby girl named Makena, PEOPLE has learned.

The former Mad About You star and Oscar winner (for 1997’s A Good As It Gets) and writer-producer Matthew Carnahan (FOX’s now-defunct Fastlane) welcomed Makena lei Gordon Carnahan on May 13 in Los Angeles.

The baby, weighing just under 6 lbs., arrived three weeks early. “Both Helen and the baby are great, perfectly healthy,” a source close to the actress tells PEOPLE.

As the magazine reports in its current issue, Hunt, who turns 41 on June 15, carried her child with her usual aplomb – possibly thanks to yoga and some maternity wear designed by her former instructor, Michelle Cassini.

Before taking up with Carnahan, 43, whom Hunt has been dating since 2001, the actress was married to actor Hank Azaria (The Simpsons). That marriage lasted from July 1999 to December 2000.

Meanwhile, Hunt has two movies waiting to come out: A Good Woman, which shot during her first trimester, and Empire Falls for HBO.