Tensor gauge boson dark matter extension of the electroweak sector

Abstract

The existence of dark matter is explained by a new, massive, neutral, non-symmetric, rank-2 tensor gauge boson (hbox {Z}_{{upmu upnu }}-boson). The hbox {Z}_{{upmu upnu }}-boson can be predicted by the tensor gauge boson extension of the Electro Weak (EW) theory, proposed by Savvidy (Phys Lett B 625:341, 2005). The non-symmetric rank-2 tensor hbox {Z}_{{upmu upnu }} can be decomposed into a symmetric (hbox {Z}_{{(upmu upnu )}}) and anti-symmetric (hbox {Z}_{{[upmu upnu ]}}) part. Based on the non-Lagrangian formulation for the free sector of the hbox {R}_{textrm{2}}-theory proposed recently by Criado et al. (Phys Rev D 102:125031, arXiv:2010.02224, 2020), our massive anti-symmetric tensor field hbox {Z}_{{[upmu upnu ]}} corresponds to the massive symmetric spinor field hbox {Z}_{{upalpha upbeta upgamma updelta }} in the (2,0) irrep. For the massive hbox {Z}_{{upalpha upbeta upgamma updelta }} with the hbox {Z}_{textrm{2}}-symmetric Higgs portal couplings to a Standard Model (SM) particle, we compute the self-annihilation cross-section of the hbox {Z}_{{upalpha upbeta upgamma updelta }} dark matter and calculate its relic abundance. We also study the SM-SM particle scattering due to the exchange of the massive-hbox {Z}_{{(upmu upnu )}} symmetric field at a high energy scale. This proposition may have far reaching applications in astrophysics and cosmology.