Mix all marinade ingredients together. Marinate lamb in marinade for several hours or overnight.
Preheat oven to 450ºF.
Scrape the garlic and herbs from the meat. Sear lamb rack in an ovenproof skillet for 2 to 3 minutes over a fairly high heat. Transfer to the oven and roast for 12 to 18 minutes, depending on desired doneness.