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

S. V. Mikhailov
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Abstract

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

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S. V. Mikhailov. 1998-09-08. The non-singlet QCD evolution kernels improved by renormalon chain contributions. https://arxiv.org/abs/hep-ph/9809299

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