Scale dependence of the chiral-odd twist-3 distributions $h_L(x)$ and $e(x)$

Details Scale dependence of the chiral-odd twist-3 distributions $h_L(x)$ and $e(x)$ Scale dependence of the chiral-odd twist-3 distributions $h_L(x)$ and $e(x)$

1997-02-17

arxiv.org/abs/hep-ph/9702354v2

Nucl.Phys. B503 (1997) 279-308

Physics

High Energy Physics

High Energy Physics - Phenomenology

30 pages, LaTeX, 5 eps figures; typos fixed, preprint number added

Scientific paper

10.1016/S0550-3213(97)00432-X

We evaluate the complete leading-order evolution kernels for the chiral-odd twist-3 distributions $e(x)$ and $\widetilde h_L(x)$ of the nucleon. We establish the connection between the evolution equations in light-cone position and light-cone fraction representations, which makes a correspondence between the non-local string operator product expansion and the QCD-inspired parton model. The compact expression obtained for the local anomalous dimension matrix coincides with previous calculations. In the multicolour QCD as well as in the large-$x$ limit the twist-3 distributions obey simple DGLAP equations. Combining these two limits, we propose improved DGLAP equations and compare them numerically with the solutions of the exact evolution equations.

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