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

A. V. Belitsky; D. Muller

doi:10.1016/S0550-3213(97)00432-X

paper

Scale dependence of the chiral-odd twist-3 distributions $h_{L} (x)$ and $e (x)$

arXiv:hep-ph/9702354 · doi:10.1016/S0550-3213(97)00432-X

Abstract

We evaluate the complete leading-order evolution kernels for the chiral-odd twist-3 distributions $e (x)$ and $h_{L} (x)$ 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.

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

Scale dependence of the chiral-odd twist-3 distributions $h_{L} (x)$ and $e (x)$

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Scale dependence of the chiral-odd twist-3 distributions hL​(x) and e(x)

Abstract

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Cited by in corpus (55)

Scale dependence of the chiral-odd twist-3 distributions $h_{L} (x)$ and $e (x)$