Two loop QCD anomalous dimensions of flavor changing four quark operators within and beyond the standard model

May, 2000
37 pages
Published in:
  • Nucl.Phys.B 586 (2000) 397-426
e-Print:
Report number:
  • TUM-HEP-371-00,
  • CERN-TH-2000-124,
  • IFT-13-2000,
  • TUM-HEP-371/00,
  • CERN-TH/2000-124,
  • IFT-13/2000

Citations per year

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Abstract:
We calculate the two-loop QCD anomalous dimension matrix (ADM) gamma^(1)_NDR in the NDR-MSbar scheme for all the flavour-changing four-quark dimension-six operators that are relevant in both the Standard Model and its extensions. Both current-current and penguin diagrams are included. Some of our NDR-MSbar results for Delta F=1 operators overlap with the previous calculations, but several others have never been published before. In the case of Delta F=2 operators, our results are compatible with the ones obtained by Ciuchini et al. in the Regularization-Independent renormalization scheme, but differ from their NDR-MSbar results. In order to explain the difference, we calculate the ADM of Delta F=2 operators again, extracting it from the ADM of Delta F=1 operators.
Note:
  • 40 pages, 1 figure, eq.(4.9) corrected, appendix F added
  • quantum chromodynamics: perturbation theory
  • current: flavor changing
  • regularization: dimensional
  • operator: (4quark)
  • operator: higher-dimensional
  • dependence: renormalization
  • operator product expansion
  • effective Hamiltonian
  • Feynman graph: higher-order
  • Feynman graph: penguin
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