Beat together the butter and sugar in a large bowl or stand mixer. Beat until they pale and airy, 3-4 minutes should do.
1/2 cup unsalted butter, 1 cup white sugar
Add the egg and vanilla extract. Beat them into the mixture well.
1 egg, 1 tsp vanilla extract
Next, add Greek yogurt. Combine gently with the other ingredients.
1/2 cup Greek yogurt
Sift together the dry ingredients together in another bowl.
3 1/2 cups all-purpose flour, 1 tsp baking soda, 1/2 tsp salt
Slowly sprinkle the dry ingredients into the wet ingredients until all have been incorporated. Mix them in gently.
Split the dough in half and place each half on a piece of plastic wrap. Wrap tightly, then transfer to the refrigerator.
Chill the dough for 1-2 hours.