In a large pot, heat the olive oil over medium heat.
Add the diced onion and bell pepper to the pot, cooking until softened.
Stir in the minced garlic, cooking for an additional minute.
Add the cumin and chili powder, stirring until fragrant.
Add the chicken breasts, green chiles, beans, corn, and chicken broth.
Bring the chili to a simmer, cover, and cook for about 20 minutes.
Remove the chicken breasts, shred them, and return to the pot.
Add lime juice and season with salt and pepper to taste before serving.
Garnish with fresh cilantro if desired and serve hot.