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New positivity bounds on polarized parton distributions in multicolored QCD

P. V. Pobylitsa, M. V. Polyakov

Abstract

We derive new positivity bounds on spin-dependent parton distributions in multicolored QCD. They are stronger than Soffer inequality. We check that the new inequalities are stable under one-loop DGLAP evolution to higher normalization points.

New positivity bounds on polarized parton distributions in multicolored QCD

Abstract

We derive new positivity bounds on spin-dependent parton distributions in multicolored QCD. They are stronger than Soffer inequality. We check that the new inequalities are stable under one-loop DGLAP evolution to higher normalization points.

Paper Structure

This paper contains 28 equations, 1 figure.

Figures (1)

  • Figure 1: Soffer inequality at large $N_c$ (the rhombus hatched with vertical lines) versus new large $N_{c}$ inequalities (the triangle hatched horizontally) in terms of variables $L$ and $T$ (see eq. (\ref{['LT']})).