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