The theory of local mass dimension one fermions of spin one half
In the present paper, the author discusses the troubling features encountered in an earlier paper where an unexpected theoretical discovery of spin one-half fermions with mass dimension one was presented and traces the origin of of these issues to a hidden freedom in the definition of duals of spinors and the associated field adjoints. In the process, for the first time, a quantum theory of spin one-half fermions that is free from all the mentioned issues is provided. The interactions of the new fermions are restricted to dimension-four quartic self-interaction, and also to a dimension-four coupling with the Higgs. A generalised Yukawa coupling of the new fermions with neutrinos provides a hitherto unsuspected source of lepton-number violation. The new fermions thus present a first-principle dark matter partner to Dirac fermions of the standard model of high energy physics with contrasting mass dimensions -- that of three halves for the latter versus one of the former without mutating the statistics from fermionic to bosonic.
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