Heat the olive oil in a large pot over medium heat.
Add the chopped onion and cook for about 5 minutes, until softened.
Stir in the minced garlic and cook for an additional minute until fragrant.
Add the diced chicken breasts to the pot and cook until browned on all sides, about 5-7 minutes.
Pour in the chicken broth and bring to a simmer.
Stir in the diced green chilies, black beans, corn, cumin, chili powder, salt, and pepper.
Continue to simmer the soup for about 20 minutes, allowing the flavors to meld and the chicken to cook through.
Taste and adjust seasoning as desired.
Ladle the soup into bowls, and garnish with chopped cilantro. Serve with lime wedges on the side.