Renormalon chains contributions to the non-singlet evolutional kernels in QCD
S. V. Mikhailov
Abstract
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 Nf 1. Calculations are performed in covariant ξ-gauge, in the 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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