Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-08-06
Physics
High Energy Physics
High Energy Physics - Phenomenology
See http://hegra1.mppmu.mpg.de/majorana for further material on this manuscript, including a discussion with H.Haber and a ret
Scientific paper
It is shown that a Majorana neutrino with identical phenomenology as a standard-model Weyl neutrino obeys a Lagrangian different by a factor sqrt(2) in the weak-interaction term from one that follows from the standard model. Assuming that the standard model does hold in good approximation for the weak interactions of a Majorana neutrino, e.g. a charged-current production cross section a factor 2 larger than the observed one is predicted. From this it is concluded that the neutrino is not of Majorana type. This conclusion does not forbid the possible existence of a Weyl neutrino with a Majorana mass term and ensuing lepton-number violating phenomena (like e.g. neutrino-less double beta decay). The paper is not in contradiction with any published literature, because it analyses the formal proof of equivalence between Weyl and Majorana neutrino for the first time under the assumption that the standard model is quantitatively correct for the weak interactions of the neutrino.
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