In a large cast iron pot over medium heat, heat the olive oil.
Sauté the onion, garlic, and red and yellow bell peppers until they have softened, about 5 minutes.
Add the chicken, and brown, 5 to 10 minutes, stirring with a wooden spoon to break up the larger pieces.
After the chicken is mostly browned, add the tomatoes. Give it all a good stir, and add the red pepper flakes, chili powder, cumin, paprika, mustard, coriander, allspice, and oregano.
Bring the chili to a low boil, and reduce the heat to low.
Simmer the chili for at least 2 hours. Periodically stir in some chicken broth when it starts getting thick. You may not need the whole 2 cups.
Serve immediately.