General positivity bounds for spin observables in particle inclusive production

Abstract

Positivity constraints, derived initially assuming parity conservation, for the inclusive reaction of the type $A(spin1/2)+B(spin1/2)\to C+X$, 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 non-trivial bounds involving all the spin observables of the reaction and we discuss some relevant physics processes. Particularly we discover a non-trivial positivity constraint for the processes, $pp\to W^{\pm }/Z^0+X$ or $pp\to {\ell }^{\pm }+X$ where ${\ell }^{\pm }$ decayed from $W^{\pm }/Z^0$, which could be checked at the ongoing longitudinal spin program at RHIC.

12 pages, 3 figures, version to be published in Physical Review D

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Cited by in corpus (6)

• A first unbiased global determination of polarized PDFs and their uncertainties
• Measurement of longitudinal spin asymmetries for weak boson production in polarized proton-proton collisions at RHIC
• Single Spin Asymmetry Scaling in the Forward Rapidity Region at RHIC
• Quasi-parton distribution functions: a study in the diquark spectator model
• Measurement of the longitudinal spin asymmetries for weak boson production in proton-proton collisions at $\sqrt{s}$ = 510 GeV
• Spin asymmetries for vector boson production in polarized p+p collisions