Abstract
We evaluate the complete leading-order evolution kernels for the chiral-odd twist-3 distributions e(x) and h̃L (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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 279-308 |
| Number of pages | 30 |
| Journal | Nuclear Physics B |
| Volume | 503 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - Oct 13 1997 |
| Externally published | Yes |
Keywords
- Anomalous dimension
- Chiral-odd distribution
- Evolution equation
- Multicolour QCD
- Quark-gluon correlator
ASJC Scopus subject areas
- Nuclear and High Energy Physics
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Belitsky, A. V., & Müller, D. (1997). Scale dependence of the chiral-odd twist-3 distributions hL(x) and e(x). Nuclear Physics B, 503(1-2), 279-308. https://doi.org/10.1016/S0550-3213(97)00432-X