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We show that the negative polarized gluon distribution $\Delta g$ found in arecent global next-to-leading order QCD analysis of the nucleon helicitystructure is incompatible with the fundamental requirement that physicalcross-sections must not be negative. Specifically, we show that the fact thatthis polarized gluon strongly violates the positivity condition $|\Delta g|\leqg$ in terms of the unpolarized gluon distribution $g$ leads to negativecross-sections for Higgs boson production at RHIC as a physical process,implying that this negative $\Delta g$ is unphysical.

Higgs production at RHIC and the positivity of the gluon helicity distribution