Spin half fermions with mass dimension one: theory, phenomenology, and dark matter

Details Spin half fermions with mass dimension one: theory, phenomenology, and dark matter Spin half fermions with mass dimension one: theory, phenomenology, and dark matter

2004-12-07

arxiv.org/abs/hep-th/0412080v3

JCAP 0507:012,2005

Physics

High Energy Physics

High Energy Physics - Theory

78 pages [Changes: referee-suggested improvements, additional important references, and better readability]

Scientific paper

10.1088/1475-7516/2005/07/012

We provide the first details on the unexpected theoretical discovery of a spin-one-half matter field with mass dimension one. It is based upon a complete set of dual-helicity eigenspinors of the charge conjugation operator. Due to its unusual properties with respect to charge conjugation and parity, it belongs to a non-standard Wigner class. Consequently, the theory exhibits non-locality with (CPT)^2 = - I. We briefly discuss its relevance to the cosmological `horizon problem'. Because the introduced fermionic field is endowed with mass dimension one, it can carry a quartic self-interaction. Its dominant interaction with known forms of matter is via Higgs, and with gravity. This aspect leads us to contemplate the new fermion as a prime dark matter candidate. Taking this suggestion seriously we study a supernova-like explosion of a galactic-mass dark matter cloud to set limits on the mass of the new particle and present a calculation on relic abundance to constrain the relevant cross-section. The analysis favours light mass (roughly 20 MeV) and relevant cross-section of about 2 pb. Similarities and differences with the WIMP and mirror matter proposals for dark matter are enumerated. In a critique of the theory we bare a hint on non-commutative aspects of spacetime, and energy-momentum space.

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