Renormalon chains contributions to the non-singlet evolutional kernels in QCD

Details Renormalon chains contributions to the non-singlet evolutional kernels in QCD Renormalon chains contributions to the non-singlet evolutional kernels in QCD

1998-04-09

arxiv.org/abs/hep-ph/9804263v4

Phys.Lett. B431 (1998) 387-394

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, LATEX, 1 Table, 1 figure is included into the tex-file, 1 figure is added as ps-file. References added, minor correct

Scientific paper

10.1016/S0370-2693(98)00585-1

Contributions to QCD non-singlet evolution kernels $P(z)$ for the DGLAP equation and $V(x,y)$ for the Brodsky-Lepage evolution equation are calculated for a certain class of diagrams which include renormalon chains. Closed expressions are presented for the sums of these contributions that dominate for a large number of flavors $N_f \gg 1$. Calculations are performed in covariant $\xi$-gauge, in the \MSbar scheme. The assumption of "naive nonabelianization" approximation for kernel calculations is discussed. The partial solution to the Brodsky-Lepage evolution equation is obtained.

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