Heat oil in a large pot over medium-high heat. Add onion and bell pepper and cook, stirring occasionally, until vegetables are soft, about 7 minutes. Stir in garlic and cook until it starts to soften, about 1 minute.

Stir in chili powder, cumin, oregano, salt, and pepper. Add turkey and stir until well coated with spices. Pour in crushed tomatoes, chicken broth, beer, brown sugar, and Worcestershire sauce. Reduce heat to medium low and bring to a simmer, uncovered. Cook, stirring occasionally, until chili has thickened, about 50 minutes. Add black beans and cook until heated through, about 10 minutes. Season with salt and pepper.