In a large mixing bowl, using an electric mixer or stand mixer on medium speed, beat heavy cream until slightly thickened.
Add sugar and beat until soft peaks are formed.
Add condensed milk and beat until stiff peaks are formed.
Beat in lime juice, lime zest, and half and half until mixture is smooth.
Spread pie filling evenly into cooled crust.
Cover and refrigerate pie for at least 2 hours so it is cooled down and firm enough before piping meringue on top.