Abstract
SU(N) Lie algebras possess discrete symmetries which can lead naturally to stable vector dark matter (DM). In this work, we consider the possibility that the dark SU(N) sector couples to the visible sector through the Higgs portal. We find that minimal CP–conserving hidden “Higgs sectors” entail stable massive gauge fields which fall into the WIMP category of dark matter candidates. For SU(N), N > 2, DM consists of three components, two of which are degenerate in mass. In all of the cases, there are substantial regions of parameter space where the direct and indirect detection as well as relic abundance constraints are satisfied.
Highlights
Play the role of WIMP-type dark matter quite naturally
We find that minimal CP–conserving hidden “Higgs sectors” entail stable massive gauge fields which fall into the WIMP category of dark matter candidates
We review the cases of massive U(1) and SU(2) gauge fields as vector DM and identify the underlying symmetries leading to stability of vector dark matter
Summary
Consider an SM extension by two complex fields φ1 and φ2 transforming as triplets of hidden gauge SU(3). Under the first Z2 all φi are even, while the second Z2 reflects φ4 and leaves the other fields intact As we detail, this assignment follows from the explicit form of the first Z2 as a gauge transformation and the fact that the second Z2 acts as complex conjugation. This assignment follows from the explicit form of the first Z2 as a gauge transformation and the fact that the second Z2 acts as complex conjugation In any case, these are explicit symmetries of the Lagrangian and the vacuum. The mass terms for the gauge fields, the mixing terms as well as the gauge-scalar interactions. Note that the term includes additional couplings of the gauge fields to the scalars.
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