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

A. V. Belitsky, D. Müller

Research output: Contribution to journalArticlepeer-review

62 Scopus citations


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 languageEnglish (US)
Pages (from-to)279-308
Number of pages30
JournalNuclear Physics B
Issue number1-2
StatePublished - Oct 13 1997
Externally publishedYes


  • 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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