01 - In a large mixing bowl, combine the olive oil, lime juice, minced garlic, soy sauce, white vinegar, ground cumin, smoked paprika, dried oregano, chili powder, salt, and black pepper. Whisk until a smooth, well-blended marinade forms.
02 - Coat the chicken thoroughly with the marinade, using your hands to rub the mixture under the skin and into every crevice. Cover and refrigerate for at least 2 hours, or preferably overnight for maximum flavor penetration.
03 - Preheat the oven to 425°F (220°C). Position the oven rack in the center.
04 - Place the chicken skin side up on a wire 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 the mayonnaise, sour cream, seeded jalapeños, cilantro leaves, garlic cloves, 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. Serve with the chilled Aji Verde sauce on the side.