[en] We have constructed symmetry tests from spin correlations functions in the sequential decay of a spin-0, or spin-1, boson into a fermion-antifermion pair such as /tau/⁺/tau//sup /minus//. A technipion and a Higgs boson can be distinguished by a 10--20% accuracy measurement of the observed leptons' energy-energy correlation function I(E₁, E₂, cos /psi/₁₂) = S + γ/sub CP/ D for the /bar /tau///tau/ decay mode with /tau//sup +-/ → /ell//sup +-/ν/bar /nu//. A much stronger signature occurs for H → t/bar t/ with t → bμ⁺ν, t → /bar b/μ/sup /minus//ν, because if the b jet's momenta are also measured, the necessary t and /bar t/ rest frame variables can be determined. The harder lepton's energy spectrum for the decay sequence Z/sup o/ → /tau/⁺/tau//sup /minus// → μ⁺e/sup /minus// X is sensitive to the tau coupling parameters ξ and α/sub H/ where ξ is the Michel polarization parameter for /tau//sup /minus// → γ/sup /minus//νν/sup /minus//, and α/sub H/ ≅ 2a/sub /tau// v/sub /tau///(a/sub /tau//² + v/sub /tau//²) where a/sub /tau//, v/sub /tau// describe Z/sup o/ → /tau/⁺/tau//sup /minus// at tree level. The parameters ξ and α/sub H/ are independently determined. Due to a factorization property, radiative correction to such energy-energy correlations are as tractable as for A/sub LR/. By including two body modes, /tau//sup /minus// → A/sup /minus//ν for A = π, K, /rho/, K*, a₁, the ideal statistical error for α/sub H/ is reduced to σ(α/sub H/) = 0.005, or a 0.3% error on sin ²θ/sub w/. The chiral polarization parameters, ξ/sub A/, can also, be independently determined from I(E/sub A/, E/sub B/). 6 refs