The ρ-Higgs Portal in Twistorial Spectral Quantum Vacuum Theory: Predictions for TeV-Scale Collider Searches

We derive a unique scalar collective mode ρ as the spectral condensation order parameter of
the Twistorial Spectral Quantum Vacuum Theory (TSQVT). From the heat-kernel expansion
of the twistorial spectral action we derive the portal interaction β ρ|H|2 and compute the
coefficients α,β,γ in terms of spectral moments f0,f2,f4 and finite internal Dirac data. We
show that ⟨ρ⟩ ̸ = 0 is a natural outcome of the spectral potential and that electroweak symmetry
breaking is induced without introducing ad hoc scalar parameters. We compute the full mass
matrix and mixing angle tan2θ = 2δm2/(m2ρ − m2h) with all entries expressed in TSQVT
parameters, leaving at most one phenomenological scale to be fixed by data after adopting a
matching scheme for quantum corrections (parametrized by κspec with a theoretically bounded
range). We show how this signature is distinguishable from a generic singlet, radion, or dilaton
by production mode ratios and decay branching patterns. This work provides a falsifiable,
parameter-economic realization of a spectral Higgs portal