A Dynamical Interpretation of Connes' Unimodularity Condition in Standard Model and Majorana Neutrino
Abstract
Standard model is minimally extended using the unitary group G'=U(3)× SU(2)× U(1) of Connes' color-flavor algebra. In place of Connes' unimodularity condition an extra Higgs is assumed to spontaneously break G' down to standard model gauge group. It is shown that the theory becomes anomaly-free only if right-handed neutrino is present in each generation. It is also shown that the extra Higgs gives rise to large Majorana mass of right-handed neutrino and the model contains new vectorial neutral current.
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