01 - Heat a tablespoon of oil in a large heavy-bottomed pot or Dutch oven over medium-high heat. Add ground beef and cook, breaking into crumbles, until browned, about 6 to 8 minutes. Drain excess fat if needed.
02 - Add diced onion, red bell pepper, and jalapeño if using. Cook until softened, approximately 5 minutes.
03 - Stir in minced garlic and cook until fragrant, about 1 minute.
04 - Incorporate chili powder, cumin, smoked paprika, oregano, salt, black pepper, and cayenne if using. Stir continuously and toast spices for 1 minute.
05 - Pour in crushed tomatoes and beef broth. Stir to combine, scraping up any browned bits from the pot bottom.
06 - Stir in drained kidney and black beans. Bring mixture to a simmer.
07 - Reduce heat to low, partially cover, and let simmer for 40 to 50 minutes, stirring occasionally to avoid sticking.
08 - Taste and adjust salt and spices as needed.
09 - Ladle chili into bowls and top with shredded sharp cheddar. Garnish with sliced green onions and sour cream if desired.