Heat olive oil in a large pot over medium-high heat.
Add diced onion and bell peppers, sautéing until softened, about 5 minutes.
Stir in minced garlic and jalapeño, cooking for 1 minute until fragrant.
Place whole chicken breasts into the pot and add chili powder, cumin, smoked paprika, salt, and pepper.
Pour in diced tomatoes, black beans, corn, and chicken broth.
Bring the mixture to a boil, then reduce heat to low and simmer, covered, for 20 minutes.
Remove the chicken breasts, shred them with two forks, and return the meat to the pot.
Simmer uncovered for another 5-10 minutes to thicken the chili.
Serve hot with desired garnishes such as cilantro, lime, or avocado.