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The minimally extended standard model of particle physics contains threeright handed or sterile neutrinos, coupled to the active ones by a Dirac massmatrix and mutually by a Majorana mass matrix. In the pseudo-Dirac case, theMajorana terms are small and maximal mixing of active and sterile statesoccurs, which is generally excluded for solar neutrinos. In a "Diracian" limit,the physical masses become pairwise degenerate and the neutrinos attain a Diracsignature. Members of a pair do not oscillate mutually so that their mixing canbe undone, and the standard neutrino model follows as a limit. While twoMajorana phases become physical Dirac phases and three extra mass parametersoccur, a better description of data is offered. Oscillation problems are workedout in vacuum and in matter. With lepton number -1 assigned to the sterileneutrinos, the model still violates lepton number conservation and allows veryfeeble neutrinoless double beta decay. It supports a sterile neutrinointerpretation of Earth-traversing ultra high energy events detected by ANITA.

The Standard Model of particle physics with Diracian neutrino sector