Abstract
We construct composite and partially composite Higgs models with complex pseudo-Nambu-Goldstone (pNGB) dark matter states from four-dimensional gauge-Yukawa theories with strongly interacting fermions. The fermions are partially gauged under the electroweak symmetry, and the dynamical electroweak symmetry breaking sector is minimal.The pNGB dark matter particle is stable due to a U(1) technibaryon-like symmetry, also present in the technicolor limit of the models. However, the relic density is particle anti-particle symmetric and due to thermal freeze-out as opposed to the technicolor limit where it is typically due to an asymmetry.The pNGB Higgs is composite or partially composite depending on the origin of the Standard Model fermion masses, which impacts the dark matter phenomenology. We illustrate the important features with a model example invariant under an SU(4) × SU(2) × U(1) global symmetry.
Highlights
The pNGB Higgs is composite or partially composite depending on the origin of the Standard Model fermion masses, which impacts the dark matter phenomenology
We construct composite and partially composite Higgs models with complex pseudo-Nambu-Goldstone dark matter states from four-dimensional gaugeYukawa theories with strongly interacting fermions
We are interested in models where the DM candidate charged under this stabilizing U(1) symmetry is a pNGB related to the dynamical symmetry breaking
Summary
The model framework we propose consist of a new strongly interacting gauge group GTC with N1 Weyl fermions in the representation R1 and N2 Weyl fermions in the representation R2. The EW gauge interactions contribute to the effective potential at the one-loop level, but the contribution is higher order as compared to the vector-like mass terms in eq (2.3), and numerically subleading due to the smallness of the EW gauge couplings as compared to the top-loop contributions arising from the four-fermion interactions. The mass terms involving MQ (as well as the subleading EW gauge interactions) prefer the vacuum where the EW is unbroken as we discuss below. The correct vacuum alignment must be ensured by the SM-fermion mass generation mechanism
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