Next-to-leading order evolution of twist-two conformal operators: The Abelian case

A. V. Belitsky, D. Müller

Research output: Contribution to journalArticlepeer-review

56 Scopus citations


We present a method, based on the use of the broken conformal Ward identities, for the calculation of the anomalous dimensions of conformal operators beyond the leading order of perturbation theory. By means of this technique we find the complete set of two-loop corrections to the off-diagonal elements of the anomalous dimension matrix (the diagonal ones are known from deep inelastic scattering calculations) of the parity-odd and parity-even singlet local operators in the Abelian gauge theory. We reconstruct corresponding exclusive two-loop evolution kernels and give the reduction formulae for the restoration of the diagonal part of the ER-BL kernels from the DGLAP splitting functions.

Original languageEnglish (US)
Pages (from-to)207-234
Number of pages28
JournalNuclear Physics B
Issue number1-2
StatePublished - Aug 31 1998
Externally publishedYes


  • Anomalous dimensions
  • Conformal Ward identities
  • Conformal anomalies
  • Evolution equations

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


Dive into the research topics of 'Next-to-leading order evolution of twist-two conformal operators: The Abelian case'. Together they form a unique fingerprint.

Cite this