Renormalon chains contributions to the non-singlet evolutional kernels in $φ^3_{6}$ and QCD

Details Renormalon chains contributions to the non-singlet evolutional kernels in $φ^3_{6}$ and QCD Renormalon chains contributions to the non-singlet evolutional kernels in $φ^3_{6}$ and QCD

1997-06-11

arxiv.org/abs/hep-ph/9706326v3

Phys.Lett. B416 (1998) 421-432

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, LATEX, 1 Table, 2 figures are enclosed as ps-file, the text style and figures are corrected following to Phys. Lett.

Scientific paper

10.1016/S0370-2693(97)01198-2

The contributions to non-singlet evolution kernels $P(z)$ for the DGLAP equation and $V(x,y)$ for the Brodsky-Lepage evolution equation are calculated for certain classes of diagrams which include the renormalon chains. Closed expressions are obtained for the sums of contributions associated with these diagram classes. Calculations are performed in the $[\phi^3]_6$ model and QCD in the \MSbar scheme. The contribution for one of the classes of diagrams dominates for a number of flavors $N_f \gg 1$. For the latter case, a simple solution to the Brodsky-Lepage evolution equation is obtained.

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