Buttery Vanilla Shortbread

In the bowl of a stand mixer fitted with a paddle, beat the butter on medium speed until creamy, about 1 minute. Add the granulated and confectioners' sugar and salt, and beat again on medium speed until light and fluffy, 2 to 3 minutes. Scrape down the bowl and add the egg yolks and vanilla, and mix on low speed until incorporated. Then add the flour and mix on low speed until just combined.

Transfer the dough to a workspace and pat the dough into a 4 by 6 in [10 by 15 cm] rectangle. Cut the rectangle in half vertically, so it is now 2 in by 6 in [5 by 15 cm]. Roll and form each half into a log about 2 in [5 cm] wide and 6 or 7 in [15 or 16 cm] long. Place the log on a large piece of plastic, a few inches longer than the log. Sprinkle about a teaspoon of sanding sugar over each side of the log, covering the outside of the dough. Gently press the sugar into the dough with your hands. Wrap the log in the plastic wrap and refrigerate until firm, about 2 hours, or overnight.

Adjust an oven rack to the middle of the oven. Preheat the oven to 350°F [180°C]. Line three sheet pans with parchment paper.

Sprinkle some more sanding sugar over each side of the log, if desired. Slice the chilled log into ½ in [12 mm] thick rounds. Space the rounds about 2 in [5 cm] apart on the sheet pans. Bake one pan at a time, rotating halfway through baking. Bake until the edges are light golden brown but the centers are still pale, 14 to 16 minutes. Move the pan to a wire rack and let the cookies cool completely on the pan. Store cookies in an airtight container at room temperature for up to 3 days.