Shadow Fermions, Messenger Scalars and Leptogenesis
arXiv:0810.3341 · doi:10.1016/j.nuclphysb.2009.01.009
Abstract
A mechanism for leptogenesis at the electroweak scale was investigated in a model of dark energy and dark matter proposed by one of us (PQH). This model involves an asymptotically free gauge group SU(2)Z and an axion-like particle with an SU(2)Z-instanton-induced potential which yields a scenario for the dark energy. Furthermore, the extended particle content of this SU(2)Z model contains a possible candidate for the cold dark matter, namely, the SU(2)Z "shadow" fermion, which couples with the Standard Model lepton through a scalar "messenger field" carrying both SU(2)Z and electroweak quantum numbers. Since these shadow fermions are in a real representation of SU(2)Z, lepton number can be violated in the Yukawa sector and a lepton number asymmetry can be generated in the SU(2)Z particle's decay which is also CP-violating and "out-of-equilibrium". The asymmetry coming from the interference between the tree-level and one-loop amplitudes was calculated for both messenger scalar and shadow fermion decays. It turns out, in order to have a non-vanishing lepton asymmetry and to be consistent with the unitarity condition, some shadow fermions have to decay into lighter messenger scalars, hence could be a candidate "progenitor" for the lepton asymmetry.
33 pages, 4 figures, Version to appear in Nuclear Physics B
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