go down vs lose

go down and lose both are verbs.

Word	Noun	Adjective	Verb	Adverb
go down	No	No	Yes	No
lose	No	No	Yes	No

As verbs, lose is a hypernym of go down; that is, lose is a word with a broader meaning than go down:

go down (verb)	lose (verb)
grow smaller	be set at a disadvantage
stop operating	withdraw, as from reality
be defeated	fail to win
be ingested	suffer the loss of a person through death or removal
go under	allow to go out of sight or mind
disappear beyond the horizon	fail to perceive or to catch with the senses or the mind
move downward and lower, but not necessarily all the way	fail to get or obtain
be recorded or remembered	miss from one's possessions; lose sight of
	fail to keep or to maintain; cease to have, either physically or in an abstract sense
	fail to make money in a business; make a loss or fail to profit