Neutrino Condensation from a New Higgs-like Interaction

We study the consequences of having a new interaction between neutrinos and a Higgs scalar. We find that there are two possible attractive channels in the resulting effective 4-fermi theory which lead to a neutrino condensation in cosmic neutrinos and the creation of a neutrino superfluid at low temperatures and finite density. We find that at the minimum of the effective potential V the condensates are mostly made up of pairs of left-left+ right-right composites, with a slight admixture of left-right + right-left composites.