$SO(10) to SU(5) times U(1)_chi$ as the Origin of Dark Matter


Abstract in English

In the decomposition of $SO(10)$ grand unification to $SU(5) times U(1)_chi$, two desirable features are obtained with the addition of one colored fermion octet $Omega$, one electroweak fermion triplet $Sigma$ and one complex scalar triplet $S$ to the particle content of the standard model with two Higgs doublets. They are (1) gauge coupling unification of $SU(3)_C times SU(2)_L times U(1)_Y$ to $SU(5)$, and (2) the automatic (predestined) emergence of dark matter, i.e. $Omega$, $Sigma$ and $S$, with dark parity given by $(-1)^{Q_chi + 2j}$. It suggests that $U(1)_chi$ may well be the underlying symmetry of the dark sector.

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