If you seed the chile, ¡Lotería! Grill’s super-light refresher will have just a hint of heat.
In a blender, whirl cucumber chunks, 1/2 cup lime juice, the chile, 1/2 cup simple syrup, the salt, and about 1 1/2 cups water until very smooth. Pour into a pitcher and stir in 4 1/2 cups more water. Taste and add more lime juice, simple syrup, and water if you like. Chill until cold, at least 2 hours.
Stir and serve over ice, with cucumber and lime slices.
MAKE AHEAD Through step 1, chilled, up to 3 days.
Serving Size 1 Cup
Servings 10
* Percent Daily Values are based on a 2,000 calorie diet. Your daily value may be higher or lower depending on your calorie needs.