The non-singlet QCD evolution kernels improved by renormalon chain contributions
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 -gauge, in the scheme. The assumption of "naive nonabelianization" approximation for kernel calculations is discussed, and a special choice of the gauge parameter =-3 is analyzed in this context. Partial solutions to the ER-BL evolution equation are obtained.
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