See http://resonaances.blogspot.com/2011/08/higgs-wont-come-out-of-closet-part-ii.html http://resonaances.blogspot.com/2011/08/higgs-wont-come-out-... for discu

See http://resonaances.blogspot.com/2011/08/higgs-wont-come-out-of-closet-part-ii.html http://resonaances.blogspot.com/2011/08/higgs-wont-come-out-... for discussion. Basically, it's possible, but requires physics beyond the Standard Model.