On the positivity of MSbar distributions
Abstract
We discuss the positivity of parton distribution functions using the common MS factorization scheme. We find that in the perturbative regime MS PDFs inherit the strict positivity of physical PDFs. We explicitly discuss the scheme transformation by using suitable physical observables and find that MS PDFs are positive above the scale Q2 > 5 GeV2. Finally, we comment on the direct counterpart of longitudinally polarized PDFs, finding agreement with the unpolarized counterpart.
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