01 - In a large mixing bowl, combine olive oil, lime juice, minced garlic, soy sauce, white vinegar, ground cumin, smoked paprika, dried oregano, chili powder, salt, and black pepper. Whisk until all spices are fully incorporated and the marinade is smooth.
02 - Coat the chicken thoroughly with the marinade, using your hands to rub the mixture under the skin and into every crevice. Cover tightly and refrigerate for at least 2 hours, preferably overnight for maximum flavor penetration.
03 - Preheat the oven to 425°F (220°C). Position the oven rack in the center for even heat distribution.
04 - Place the chicken skin side up on a baking rack set over a roasting pan. Roast for 45 to 50 minutes, until the skin is deeply golden and crisp, and an instant-read thermometer inserted into the thickest part of the thigh registers 165°F (75°C).
05 - While the chicken roasts, combine mayonnaise, sour cream, jalapeños, cilantro, garlic, lime juice, olive oil, and salt in a blender or food processor. Blend until completely smooth and vibrant green. Transfer to a bowl, cover, and chill until ready to serve.
06 - Remove the chicken from the oven and let it rest for 10 minutes to allow the juices to redistribute. Carve into serving pieces and arrange on a platter with the chilled green sauce on the side.