In the bowl of a stand mixer fitted with the paddle attachment, beat the butter, powdered sugar, vanilla extract, and peppermint extract on medium speed until light and fluffy, about 1 minute. Make sure to scrape down the sides of the bowl.
1 cup salted butter, 1 cup powdered sugar, 1 teaspoon pure vanilla extract, 1 teaspoon pure peppermint extract
Add the flour and mix on low speed, just until the flour is incorporated and the dough begins to come together in large clumps.
2¾ cups all-purpose flour
Dump the dough onto a lightly floured surface and shape it into a disc.
Wrap it tightly with plastic and place it in the refrigerator to chill for 30 minutes. While the dough chills, line a baking sheet with parchment paper and set aside.
When the dough has chilled, place it on a lightly floured surface and roll it to ¼-inch thick.
Use a cookie cutter to out your desired shapes and transfer the cookies to the prepared baking sheet.
Place the cookies in the freezer to chill for 30 minutes. While the cookies chill, preheat the oven to 350°F.
Bake the chilled cookies for 13-15 minutes, or just until they are light brown on the bottom.
Allow the cookies to cool completely on the pan before decorating.