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On positivity of parton distributions
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We discuss the bounds on polarized parton distributions which follow from their definition in terms of cross section asymmetries. We spell out how the bounds obtained in the naive parton model can be derived within perturbative QCD at leading order when all quark and gluon distributions are defined in terms of suitable physical processes. We specify a convenient physical definition for the polarized and unpolarized gluon distributions in terms of Higgs production from gluon fusion. We show that these bounds are modified by subleading corrections, and we determine them up to NLO. We examine the ensuing phenomenological implications, in particular in view of the determination of the polarized gluon distribution.
Forward citations
Cited by 2 Pith papers
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NNLO Determination of Polarized Parton Distribution Functions with Higher-Twist and Target-Mass Corrections
KLS26 is an NNLO polarized PDF set from inclusive DIS that includes TMC, additive and multiplicative higher-twist terms, and positivity, with the largest NNLO shifts in the strange-quark helicity distribution.
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Global analyses of helicity-dependent parton distribution functions
Modern global QCD analyses agree that up-quark helicity is positive and down-quark helicity negative, with positive gluon polarisation at moderate x, while the full gluon spin moment remains limited by the unmeasured ...
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