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, kosher salt, and black pepper. Whisk until a smooth, uniform paste forms.
02 - Coat the chicken thoroughly with the marinade, working it under the skin and into every crevice with your hands. Cover tightly and refrigerate for at least 2 hours, though overnight yields the most deeply flavored result.
03 - Set the oven to 425°F (220°C) and allow it to come fully to temperature before placing the chicken inside.
04 - Arrange the chicken skin-side up on a wire rack set inside 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, 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 to allow the juices to redistribute. Serve alongside the chilled green sauce.