Combine black beans, minced garlic, tahini, lime juice, olive oil, ground cumin, salt, and optional cayenne pepper in a food processor.
Blend the mixture until it is smooth and creamy, pausing to scrape the sides as necessary. Taste and adjust seasonings as needed.
Transfer the black bean hummus to a serving bowl. Garnish with a drizzle of olive oil or a sprinkle of paprika if desired. Serve with fresh vegetables, pita chips, or whole-grain crackers.