In the bowl of a food processor, combine flour and sugar. Add butter, and process until mixture resembles coarse meal, 10 to 20 seconds.

In a small bowl, lightly beat egg yolks; add ice water. With machine running, add the egg mixture in a slow, steady stream through the feed tube. Pulse until dough holds together without being wet or sticky; be careful not to process more than 30 seconds. To test, squeeze a small amount together: If it is crumbly, add more ice water, 1 tablespoon at a time.

Divide dough into two equal balls. Flatten each ball into a disk, and wrap in plastic. Transfer to the refrigerator, and chill at least 1 hour.