A Strong Constraint on the Neutrino Mass from the Formation of Large Scale Structure in the Presence of the Primordial Magnetic Field

Placing constraints on the neutrino mass is an important goal in modern physics. One important limit on the neutrino mass can be deduced from the cosmological constraint on the formation of large scale structure as the neutrinos become nonrelativistic at late times. On the other hand we have shown that the development of large scale structure and the limits on the neutrino mass are also affected by the existence of the primordial magnetic field. We have made an analysis of limits on the neutrino mass which includes the formation of large scale structure in the presence of the primordial magnetic field. We find that the combined constraint from the formation of large-scale structure and the limits on the primordial magnetic field imply an upper limit on the mass of the neutrino of mν < 0.8 eV(Nν = 3).