0000000000929759
AUTHOR
Juan Carlos D’olivo
Electromagnetic properties of neutrinos in a background of electrons.
Using covariant methods we calculate the neutrino electromagnetic vertex in a gas of electrons to lowest order in a loop expansion and to the lowest order in $\frac{1}{{M}_{W}^{2}}$. The new induced terms, while they are chirality preserving, yield additional contributions to the dipole moments in the nonrelativistic limit. These are identical for particles and antiparticles and so need not vanish for Majorana neutrinos. As applications of our formulas, the expression for the $\mathrm{plasmon}\ensuremath{\rightarrow}\ensuremath{\nu}\overline{\ensuremath{\nu}}$ decay rate is rederived and the dispersion relation of a massless neutrino propagating in matter in the presence of an external magn…
Magnus expansion and the two-neutrino oscillations in matter
We show that the Magnus expansion can help to deal with the problem of matter-neutrino oscillations in the nonadiabatic regime of the two-neutrino-flavor case. An analytic result for the electron-neutrino survival probability is derived in a quite simple way without reference to any particular electron density.