Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-10-18
Phys.Rev. D62 (2000) 034002
Physics
High Energy Physics
High Energy Physics - Phenomenology
13 pages, revtex, 2 figures are enclosed as eps-file, the text style and figures are corrected following version, accepted for
Scientific paper
10.1103/PhysRevD.62.034002
An approach is elaborated for calculation of "all loop" contributions to the non-singlet evolution kernels from the diagrams with renormalon chain insertions. Closed expressions are obtained for sums of contributions to kernels $P(z)$ for the DGLAP equation and $V(x,y)$ for the "nonforward" ER-BL equation from these diagrams that dominate for a large value of $b_0$, the first $\beta$-function coefficient. Calculations are performed in the covariant $\xi$-gauge in a MS-like scheme. It is established that a special choice of the gauge parameter $\xi=-3$ generalizes the standard "naive nonabelianization" approximation. The solutions are obtained to the ER-BL evolution equation (taken at the "all loop" improved kernel), which are in form similar to one-loop solutions. A consequence for QCD descriptions of hard processes and the benefits and incompleteness of the approach are briefly discussed.
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