Renormalon chains contributions to the non-singlet evolutional kernels in ϕ36 and QCD
S. V. Mikhailov
Abstract
The contributions to non-singlet evolution kernels P(z) for the DGLAP equation and V(x,y) for the Brodsky-Lepage evolution equation are calculated for certain classes of diagrams which include the renormalon chains. Closed expressions are obtained for the sums of contributions associated with these diagram classes. Calculations are performed in the [ϕ3]6 model and QCD in the scheme. The contribution for one of the classes of diagrams dominates for a number of flavors Nf 1. For the latter case, a simple solution to the Brodsky-Lepage evolution equation is obtained.
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