Neutrino interactions with a weak slowly varying electromagnetic field
  We derive the effective action for processes involving two neutrinos and two photons at energies much below the electron mass. We discuss several applications in which one or both photons are replaced by external fields. In particular, Cherenkov radiation and neutrino pair production in weak external fields are investigated for massive Dirac neutrinos. 
Holger Gies, Rashid Shaisultanov