01 - In a large bowl, whisk together the olive oil, lime juice, minced garlic, soy sauce, white vinegar, ground cumin, smoked paprika, dried oregano, chili powder, salt, and black pepper until well combined.
02 - Coat the chicken thoroughly with the marinade, using your hands to rub the mixture under the skin for maximum flavor penetration. Cover and refrigerate for at least 2 hours, preferably overnight for best results.
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 baking rack set over a roasting pan. Roast for 45-50 minutes, or 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, 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 before carving. This allows the juices to redistribute throughout the meat. Serve carved portions with the chilled green sauce on the side.