01 - In a large bowl, combine olive oil, lime juice, minced garlic, soy sauce, white vinegar, cumin, smoked paprika, oregano, chili powder, salt, and pepper. Whisk until a smooth, uniform marinade forms.
02 - Coat the chicken thoroughly with the marinade, using your hands to work the mixture under the skin and into every crevice. Cover tightly and refrigerate for at least 2 hours, though overnight yields the deepest flavor penetration.
03 - Preheat the oven to 425°F (220°C), positioning the 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 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 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 green sauce alongside.