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Positivity Constraints on Quark and Gluon Distributions in QCD (1978)


Note Added in Proof

Table 1 gives the values of for which the predicted moments become negative. The finite differences formed from the moments with do not in this case yield stronger information. However, M.R. Pennington has pointed out to us that if one considers all moments but eliminates those with which are not determined by the theory, then the constraints obtained are stronger than those resulting from the positivity of the first moments and their finite differences alone [9]. The additional conditions hardly affect the lower boundary of the allowed region in table 1 but the upper boundary is reduced to for all [10].

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