Actually, Neutrinos do have a very VERY small mass.
I recommend the book Neutrino by Frank Close. Really good overview of the history and science of the Neutrino.
Beat me to it. Yup, they have mass. 3 different types of neutrinos are differetiated by their different masses. Scientists had thought them massless years ago, though.
A friend of mine tipped me to this blog’s discussion of a very interesting book that I subsequently read.
http://accurmudgeon.blogspot.com/2008/12/frank-tiplers-god-of-multiverse-part-i.html
and here’s the book:
http://www.amazon.com/gp/product/0385514255
I expect that CERN has made an error, but who knows?