The extinction of Neanderthals might have been caused by diseases such as Herpes and tuberculosis. Tuberculosis was a new disease for them, which they contracted from Homo sapiens when interbreeding. They didn't have immunity against these diseases, which weakened their immune system and made it difficult to fight for food and shelter. Other factors that contributed to their extinction include local inbreeding, competition with Homo sapiens for resources, environmental fluctuations, and demographic changes. The Neanderthals also had a different immunological advantage, which we still carry in our genes today, developed during the evolution of the immune system. However, when they met modern humans, they were exposed to new diseases and lacked immunity, leading to their eventual extinction.