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The Dirac nature of the gauginos (and also the Higgsinos) can be realized in $R$-symmetric supersymmetry models.
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Note, however, that the leptogenesis in the type I seesaw introducing right-handed neutrinos cannot generate a non-vanishing Dirac gaugino dark matter asymmetry as the DM number is also conserved in the right-handed neutrino/sneutrino decay
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CMS Collaboration, arXiv:1101.1628 [hep-ex]
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