Abstract
We recalculate the magnetic moment of neutrinos in a hot and dense medium. The magnetic dipole moment of neutrinos is modified at high temperature and chemical potential. We show that the magnetic dipole moment of electron neutrino does not get a significant contribution from thermal background to meet the cosmological bound. However, chemical potential contribution to the magnetic moment is non-ignorable even when chemical potential is an order of magnitude greater than the electron mass. It is demonstrated that this effect is more significant in the models with an extended Higgs sector through neutrino mixing.
Highlights
Neutrinos were originally discovered as massless neutral fermions
A very tiny nonzero mass of neutrino leads to the numerous extensions of the standard model and opens up new venues of research in high energy physics with its tremendous applications to astroparticle physics and cosmology
We look at the Minimally extended standard model (MESM) with nonzero tiny Dirac mass which does not change the standard electroweak model (SEWM), other than adding an inert right-handed neutrino as a singlet in each generation
Summary
Neutrinos were originally discovered as massless neutral fermions These fermions can only interact weakly and conserve individual lepton number in the standard electroweak model (SEWM). We look at the MESM with nonzero tiny Dirac mass which does not change the SEWM, other than adding an inert right-handed neutrino as a singlet in each generation. To accommodate this right handed neutrino in the SM, we have to look for different extensions of the SM These tiny masses of neutrinos, though they are not expected to be high enough to change the physical results significantly, provide enough motivations to look at the extensions of the standard electroweak model, even more seriously. This paper has been organized in a way that the section is devoted to the study of the properties of massless neutrino in a strong magnetic field in extremely dense systems. We discuss all of the calculated results and their implications
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