Anomalous dimensions of four-quark operators in the large N_f limit
Abstract
The anomalous dimensions of four-quark operators $(\bar q_i q_j)_{V-A} (\bar q_k q_l)_{V-A}$ are calculated in the large $N_f$ 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 $B^0 - \bar B^0$ mixing are briefly considered.
- Publication:
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arXiv e-prints
- Pub Date:
- October 1997
- DOI:
- 10.48550/arXiv.hep-ph/9710503
- arXiv:
- arXiv:hep-ph/9710503
- Bibcode:
- 1997hep.ph...10503P
- Keywords:
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- High Energy Physics - Phenomenology
- E-Print:
- 17 pages, LaTex, two figures