For the love of rock music!

In early 1960s, four nervous young musicians played their first record audition for the executives of the Decca recording company, only to find that the executives were not impressed. While turning down this group of musicians, one executive said, "We don't like their sound. Groups of guitars are on the way out." Later they became the world's famous rock band. If you don't have even a single song of theirs in your playlist, then for sure, your list is incomplete. 
Guess the name of this epic band.