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Anomalous dimensions of four-quark operators in the large Nf limit

1997/10/28 by N. Pott, Pott, N.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9710503

17 pages, LaTex, two figures

arxiv created 1997/10/28 · arxiv updated 2009/11/30

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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