On solutions of the standard-model Lagrangian with a Majorana mass term

Abstract

It is demonstrated that the standard-model Lagrangian with a Majorana mass term for the neutrino admits no non-trivial solution. Because the standard model is generally believed to describe the gauge interactions of neutrinos correctly, the Majorana mass term must vanish and thus cannot enable neutrino-less double beta decay. More generally, neutrinos with standard-model gauge interactions cannot be Majorana fields. Historical reasons why this conclusion has not been drawn earlier are analyzed.

Comments on this paper by V.Dvoeglazov in Ann. Fond. Louis de Broglie 31, 135 (2006); supersedes hep-ph/0108052v1; see also: http://rplaga.tripod.com/majorana/majorana.html for more information