Other forms: manhunts
When police assemble a team to search for a criminal, it's called a manhunt, even if the person they're looking for is a woman.
After an armed bank robbery or a prison escape is reported, the local police department sometimes launches a manhunt to search for the perpetrator. The crime that's been committed has to be fairly serious to result in a manhunt, because it requires extra officers. In some cases, the FBI might even get involved in a manhunt.