In a food processor or blender, whirl 2 large room-temperature egg yolks with 3 cloves chopped garlic, 1/3 cup lemon juice, and 1/2 tsp. salt until completely smooth, at least 30 seconds. With machine running, drizzle in 1/2 cup extra-virgin olive oil plus 1 cup safflower or canola oil, drop by drop for the first 1/4 cup and then in a thin, slow stream, whirling until mixture is thick and smooth, about 3 minutes. Transfer to a bowl and stir in 1/4 cup chopped fresh tarragon and 1/4 to 1/2 tsp. hot sauce, more lemon juice, and more salt to taste.
Nutritional analysis per tablespoon.