ballyhoo vs publicity

ballyhoo and publicity both are nouns.

Word	Noun	Adjective	Verb	Adverb
ballyhoo	Yes	No	Yes	No
publicity	Yes	No	No	No

As nouns, publicity is a hypernym of ballyhoo; that is, publicity is a word with a broader meaning than ballyhoo:

ballyhoo: blatant or sensational promotion
publicity: a message issued in behalf of some product or cause or idea or person or institution

Other hypernyms of ballyhoo include packaging, promo, promotion, promotional material.

ballyhoo (noun)	publicity (noun)
blatant or sensational promotion	the quality of being open to public view
	a message issued in behalf of some product or cause or idea or person or institution

ballyhoo (verb)	publicity (verb)
advertize noisily or blatantly