### Abstract

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

Original language | English (US) |
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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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## Cite this

_{L}(x) and e(x).

*Nuclear Physics B*,

*503*(1-2), 279-308. https://doi.org/10.1016/S0550-3213(97)00432-X