Line a 9-inch square ceramic or glass baking pan with parchment paper. Set aside.
In a medium bowl, sift together flour and powdered sugar.
Add butter.
Beat with an electric mixer until it looks like corn meal, about 2-3 minutes.
Add egg yolks and vanilla.
Continue to mix until it forms a smooth dough, about 2-3 minutes.
Turn dough into prepared pan.
Press dough down to cover bottom of pan evenly.
Refrigerate for at least 30 minutes.
While crust is chilling, heat oven to 350 degrees F.
Bake crust until lightly browned around edges, about 15-20 minutes.
Remove to cooling rack.
Reduce oven temperature to 325 degrees F.