Matter parity as the origin of scalar dark matter

We extend the concept of matter parity PM=(-1)3(B-L) to nonsupersymmetric theories and argue that PM is the natural explanation to the existence of dark matter of the Universe. We show that the nonsupersymmetric dark matter must be contained in a scalar 16 representation(s) of SO(10), thus the unique low-energy dark matter candidates are PM-odd complex scalar singlet(s) S and an inert scalar doublet(s) H2. We have calculated the thermal relic dark matter (DM) abundance of the model and shown that its minimal form may be testable at LHC via the standard model (SM) Higgs boson decays H1→DM DM. The PAMELA anomaly can be explained with the decays DM→νlW induced via seesawlike operator which is additionally suppressed by the Planck scale. Because the SM fermions are odd under matter parity too, the DM sector is just our scalar relative.