Determining the Spin-Analyzing Powers via Invariants of the Spin Correlation Matrices and Probing the Bell Non-Locality at the Lepton Colliders
This paper establishes that the trace of the spin correlation matrix is a basis-invariant quantity for two-fermion production via single mediator exchange at lepton colliders, enabling the determination of spin-analyzing powers, the reconstruction of spin correlations to probe Bell non-locality (specifically in production at BESIII), and the exploration of new physics beyond the Standard Model.