What animal would come into my garden kill a rat by biting off its head then leave the body and on ground it only humans that for sport?

The animal you're describing sounds like a ferret.

Here's why:

* Head-biting: Ferrets are known for their aggressive killing technique, often biting the head of their prey, especially rodents like rats.

* Leaving the body: They don't usually eat the entire rat, often leaving the body behind after taking a bite or two.

* Human "sport": Ferrets are domesticated animals, and while they can be trained to hunt, they are not known to kill for sport in the way humans might. The "sport" element is likely a human interpretation of their natural hunting instinct.

While other animals like weasels, stoats, and minks also kill rats, ferrets are particularly known for their head-biting method and leaving the body behind. It's important to note that ferrets are not inherently cruel, but their predatory instincts are strong.