In a mixing bowl, cream together butter and granulated sugar until light and fluffy for about 3-5 minutes.

Beat in the eggs one at a time, then mix in lime zest, lime juice, and vanilla extract.

In a separate bowl, whisk together flour, baking powder, and salt. Gradually add to wet ingredients and mix until just combined.

Fold in finely chopped mint leaves gently into the dough.

Cover dough with plastic wrap and refrigerate for 20-30 minutes.

Preheat the oven to 350°F (175°C). Scoop tablespoon-sized portions and roll into balls. Place on a baking sheet lined with parchment, spacing them 2 inches apart.

Bake for 10-12 minutes, until edges are lightly golden and centers are set.

Allow cookies to cool for 5 minutes on the baking sheet before transferring to a wire rack. For glaze, mix powdered sugar with lime juice and drizzle over cooled cookies.