Electromagnetic interaction of neutrinos in gauge theories of weak interactions

Neutrino interactions with a weak slowly varying electromagnetic field

“…It is easy to check that the transition rate (9) never wins out over the mass-independent contribution as cited in [14], which is proportional to (E/m) 5 (B/B cr ) 6 . This statement holds for any value of the neutrino mass in the low-energy domain.…”

“…In [3] Gell-Mann showed that in the four-Fermi limit of the standard model the amplitude is exactly zero to order G F ; this is because, according to Yang's theorem [4], which is based on rotational invariance, two photons cannot couple to a J = 1 state. Therefore the amplitude is suppressed by the additional factors of ω/m W , where ω is the photon energy and m W is the W mass [3,5,6,7]. As a result, the typical vacuum cross sections are exceedingly small (e.g., see [8] for the process γν → γν).…”

“…(6). Of course, we could have also studied field configurations inducing similar effects that are triggered solely by the second term of Eq.…”

The Glashow resonance in neutrino–photon scattering

“…We do so in the subsequent discussion and call any of the reactions (1)-(2) the Glashow resonance. The reason for highlighting (1) and ignoring (2) in the literature is simply that electrons as targets are explicitly present in matter while positrons, muons and tau leptons are not. Nevertheless, we would like to remind us that one can attribute an equivalent lepton spectrum to the photon as well as to charged particles [38].…”

Axial vector current in an electromagnetic field and low-energy neutrino-photon interactions

“…Incidentally, processes with two photons, for example, neutrino-photon scattering γ ν → γ ν, turn out to be highly suppressed in the standard model [4][5][6][7] because, according to Yang's theorem [8], two photons cannot couple to the J = 1 state. As a result, typical cross sections are exceedingly small and suppressed by factors of 1/m 2 W (see, e.g., [9]).…”