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arXiv · hep-ph/9804263

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

S. V. Mikhailov
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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 $N_f \gg 1$. Calculations are performed in covariant $ξ$-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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S. V. Mikhailov. 1998-05-13. Renormalon chains contributions to the non-singlet evolutional kernels in QCD. https://doi.org/10.1016/s0370-2693(98)00585-1

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