Anomalous dimensions of four-quark operators in the large Nf limit
Abstract
The anomalous dimensions of four-quark operators ( qi qj)V-A ( qk ql)V-A are calculated in the large Nf limit. As expected, the result is a convergent series without renormalon ambiguities. Using the approximation of "Naive Nonabelianization", an additional all-order contribution to the anomalous dimension matrix is obtained which is somewhat larger than the exact NLO correction itself. Possible phenomenological applications in nonleptonic B decays and B0 - B0 mixing are briefly considered.
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