English

The non-singlet QCD evolution kernels improved by renormalon chain contributions

High Energy Physics - Phenomenology 2007-05-23 v1

Abstract

Closed expressions are presented for the contributions to QCD non-singlet forward evolution kernels P(z)P(z) for the DGLAP equation and to V(x,y)V(x,y) for non-forward (ER-BL) evolution equation for a certain class of diagrams which include renormalon chains. Calculations are performed in covariant ξ\xi-gauge, in the \MSbar scheme. The assumption of "naive nonabelianization" approximation for kernel calculations is discussed, and a special choice of the gauge parameter ξ=3\xi=-3 is analyzed in this context. Partial solutions to the ER-BL evolution equation are obtained.

Keywords

Cite

@article{arxiv.hep-ph/9809299,
  title  = {The non-singlet QCD evolution kernels improved by renormalon chain contributions},
  author = {S. V. Mikhailov},
  journal= {arXiv preprint arXiv:hep-ph/9809299},
  year   = {2007}
}

Comments

talk presented at Quarks'98, 10 pages, LaTeX 2-eps, 1 Table, 1 figure is included into the tex-file, 1 figure is added as ps-file