Chase them to death? One disappeared, they never found it. Around here they warn not to let small dogs off leash (or cats out) because of the wildlife/coyotes and hawks etc...
Ratso can bite the neck of the chicken or grab it by its neck and junk on it or shake it, breaking its neck and killing it.
My mother’s next-door neighbors are a Pinterest nightmare. They have a small backyard, but are outside the city limits for restrictions on certain livestock. They want trendy animals for photos and run thru animals like water. They are terrible to animals. She posts her photos on a Pinterest account and her facebook accounts for likes. They have gone through two sheep, three goats, four ducks, a couple of roosters, a pony, 5 koi fish ( didn't line the koi pond correctly and left for the weekend, all the water leaked out, and the fish died like the LieLande fish, no water and gasping for air.), and about a dozen chickens/ chicks. They still have about 8 chickens remaining.
They have a small rat terrier just a tiny bit larger than Ratso. We have watched it chase two chickens until they had a heart attack and dropped dead and witnessed the dog grabbing a chicken and a rooster at another time, biting their neck or grabbing their neck in its teeth and shaking them, until their necks broke, killing them. The terrier would also chase chickens and pick a chicken up by the neck and carry it around the back yard, violently shaking them. Many died. They had a set of 8 baby chicks but the terrier killed 5 of them. It is horrific seeing the shitshow going on next door.
Don’t let Ratso’s size fool you. They were used to kill huge rats. They have razor sharp teeth and a powerful jaw. The can and will kill chickens.
I still wonder if Ratso killed one of the young peahens.
If they told the truth (it’s LieLande after all), the rooster could have run, tried to hide, and died behind or under something, or was wounded and bled out in the woods. Scavenger animals would have eaten the carcass if they located it. Buzzard type birds would finish it off quickly.