noun / adjective
carotid
kuh-RAH-tid/kɝˈɑtɪd/
One of the main arteries supplying blood to the head and neck, or relating to these arteries.
The diagram shows the carotid artery running through the neck.

Etymology
The Greek artery name was linked to “plunging into sleep or stupor,” because compressing these vessels was believed to cause unconsciousness. That explanation may be folk etymology.
In context
what symptoms could people have if their carotid artery the one that supplies blood to the brain if it's narrowed