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We discuss how the experimental information from longitudinal single-spinasymmetries for $W^{\pm}$ boson production in polarised proton-protoncollisions can be included in a polarised parton determination by Bayesianreweighting of a Monte Carlo set of polarised PDF replicas. We explicitlyconstruct a prior ensemble of polarised parton distributions using availablefits to inclusive and semi-inclusive DIS data and we discuss the potentialimpact of existing and future RHIC measurements on it.

Inclusion of W^+- single-spin asymmetry data in a polarised PDF determination via Bayesian reweighting