Chodos, Alan and Fred Cooper
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. The effective theory is sensitive to the cutoff mass mH (the mass of the Higgs particle) in the sense that if one wants to use the almost pole-like contribution coming from the fermi surface to calculate the effective potential, one needs to renormalize the coupling constant so that the dependence of the variables of the theory on the cutoff is only logarithmic.