Beat butter and sugar with an electric mixer until creamy.
Mix in flour, salt, and lime zest.
Turn out onto a piece of parchment paper.
Roll into a log 12 inches long.
Roll up in the parchment paper.
Freeze for 30 minutes.
Heat oven to 375 °F.
Line 2 sheet pans with parchment paper. Set aside.
Remove cookie dough from freezer.
Slice into ¼ inch slices.
Place on prepared sheet pans.
Bake for 12 minutes, rotating halfway through, or until just starting to color around the edges.
Cool on pans.