General positivity bounds for spin observables in single particle inclusive production

Positivity constraints, derived initially assuming parity conservation, for the inclusive reaction of the type A(spin1/2)+B(spin1/2)→C+X, where the spins of both initial spin-1/2 particles can be in any possible directions and no polarization is observed in the final state, are generalized to the case of parity violation. By means of a systematic method, we obtain nontrivial bounds involving all the spin observables of the reaction and we discuss some relevant physics processes. Particularly, we discover a nontrivial positivity constraint for the processes pp→W^±/Z⁰+X or pp→ℓ^±+X where ℓ^± decayed from W^±/Z⁰, which could be checked at the ongoing longitudinal spin program at Relativistic Heavy Ion Collider.