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The self-consistent DM model with two portal interactions developed in this work demonstrates internal theoretical consistency and offers broad potential for phenomenological applications. The combined presence of vector (kinetic-mixing) and scalar (Higgs) portals provides an efficient framework for describing the interactions between DM and the visible sector over a wide mass range. Within this model, we have formulated the full Lagrangian, obtained exact expressions for the interaction terms, and derived internally consistent parameter relations inherent to its gauge-invariant framework. Numerical calculations of the cross sections for the associated light DM production with a τ+ τ− pair in e+ e− collisions at √s = 7 GeV, mediated by both scalar and vector portals, demonstrate that even for small scalar mixing values sinθ ∼ 10^−4, the scalar channel contribution remains phenomenologically significant within the self-consistent framework.
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