NEW YORK (CNNMoney.com) -- Haagen-Dazs is warning that a creature as small as a honeybee could become a big problem for the premium ice cream maker's business.

At issue is the disappearing bee colonies in the United States, a situation that continue to mystify scientists and frighten foodmakers.

That's because, according to Haagen-Dazs, one-third of the U.S. food supply - including a variety of fruits, vegetables and even nuts - depends on pollination from bees.