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 a smooth, uniform marinade forms.
02 - Coat the chicken thoroughly with the marinade, using your hands to rub the mixture underneath the skin for deeper flavor penetration. Cover tightly and refrigerate for at least 2 hours, or preferably overnight for best results.
03 - Preheat the oven to 425°F (220°C). Position the oven rack in the center for even heat distribution.
04 - Place the marinated 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. Transfer to a bowl, cover, and refrigerate 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 serve alongside the chilled green sauce.