shoo away vs chase away

shoo away and chase away both are verbs.

Word	Noun	Adjective	Verb	Adverb
shoo away	No	No	Yes	No
chase away	No	No	Yes	No

As verbs, chase away is a hypernym of shoo away; that is, chase away is a word with a broader meaning than shoo away:

shoo away: drive away by crying `shoo!'
chase away: force to go away; used both with concrete and metaphoric meanings

Other hypernyms of shoo away include dispel, drive away, drive off, drive out, run off, turn back.

shoo away (verb)	chase away (verb)
drive away by crying `shoo!'	force to go away; used both with concrete and metaphoric meanings