English

OPE coefficient functions in terms of composite operators only. Singlet case

High Energy Physics - Phenomenology 2013-05-30 v2 High Energy Physics - Theory

Abstract

A method for calculating coefficient functions of the operator product expansion, which was previously derived for the non-singlet case, is generalized for the singlet coefficient functions. The resulting formula defines coefficient functions entirely in terms of corresponding singlet composite operators without applying to elementary (quark and gluon) fields. Both "diagonal" and "non-diagonal" gluon coefficient functions in the product expansion of two electromagnetic currents are calculated in QCD. Their renormalization properties are studied.

Keywords

Cite

@article{arxiv.1110.6059,
  title  = {OPE coefficient functions in terms of composite operators only. Singlet case},
  author = {Alexander V. Kisselev},
  journal= {arXiv preprint arXiv:1110.6059},
  year   = {2013}
}

Comments

33 pages, 15 figures, minor corrections are made

R2 v1 2026-06-21T19:26:51.095Z