Definition - What does Hot Pursuit mean?
Hot pursuit is when law enforcement actively chases an alleged criminal. If a police officer or other law enforcement agent is in hot pursuit, they do not need to get a warrant or get authorization to leave their jurisdiction. The reason is because there is a high chance of the escape of the person, the destruction of evidence, or danger to the public.
Justipedia explains Hot Pursuit
Sometimes police officers either witness a crime take place or respond to a call that a crime has taken place. In these circumstances, a chase of a suspected criminal can ensue. Such chases, known as hot pursuits, can involve running through neighborhoods, car chases, etc. In these cases, the need to apprehend the criminal and prevent public harm from taking place trumps certain legal procedures such as the obtaining of a warrant. For example, police officers are not going to try to obtain a warrant if they witness a bank robbery. Instead, they will pursue the suspects in a hot pursuit.