Mix all ingredients, except sesame seeds, together and pour into a large resealable storage bag, with chicken, to marinate. Refrigerate at least one hour, but overnight is preferable.
Position an oven rack 8 to 10 inches from broiler and preheat broiler. Line a large, rimmed baking sheet with heavy duty foil. Tranfer drumsticks and marinade to the sheet and broil, turning occasionally, for 25 minutes, or until chicken is cookemarinade has formed a glaze. Make sure to watch closely so chicken does not burn. Sprinkle sesame seeds over chicken and serve.