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

A. V. Belitsky, D. Müller

Research output: Contribution to journalArticle

55 Scopus citations

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 languageEnglish (US)
Pages (from-to)279-308
Number of pages30
JournalNuclear Physics B
Volume503
Issue number1-2
DOIs
StatePublished - Oct 13 1997
Externally publishedYes

Keywords

  • Anomalous dimension
  • Chiral-odd distribution
  • Evolution equation
  • Multicolour QCD
  • Quark-gluon correlator

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Fingerprint Dive into the research topics of 'Scale dependence of the chiral-odd twist-3 distributions h<sub>L</sub>(x) and e(x)'. Together they form a unique fingerprint.

  • Cite this