In a large pot, heat the olive oil over medium heat.
Add the onion, garlic, red bell pepper, and jalapeno pepper. Sauté until the vegetables are softened, about 5 minutes.
Add the ground cumin and chili powder. Stir to coat the vegetables with the spices.
Pour in the chicken broth and diced tomatoes. Stir to combine.
Add the black beans, corn, and shredded chicken. Season with salt and pepper, to taste.
Bring the soup to a boil, then reduce the heat to low. Simmer for 30 minutes, stirring occasionally.
Stir in the lime juice.
Serve the soup hot, garnished with fresh cilantro. Serve with tortilla chips on the side.