Lime Cooler Cookies

Ingredients
2 cups butter, softened
2 cup powdered sugar
3 1/2 cups all-purpose flour
1/2 cup cornstarch
2 tbsp grated lime zest
1 tsp vanilla
2 tbsp sugar
2 tbsp lime juice

Preheat oven to 350.
In a large bowl, beat butter and 1 cup powdered sugar.
Slowly add flour, cornstarch, lime peel, and vanilla.
Shape dough into 3/4-inch balls and place on ungreased cookie sheet.
Press bottom of glass into dough to grease. Dip into sugar, then press on dough balls to flatten to 1/4-inch thick.
Bake 9-11 minutes.
Transfer to wire rack to cool completely, about 30 minutes.
In a small bowl, stir together 1 cup powdered sugar and lime juice.
Spread glaze over cooled cookies.