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arxiv hep-ph/0005183 v2 pith:IA7Z3WEU submitted 2000-05-18 hep-ph

Two-Loop QCD Anomalous Dimensions of Flavour-Changing Four-Quark Operators Within and Beyond the Standard Model

classification hep-ph
keywords operatorsdeltandr-msbarresultsanomalouscalculateflavour-changingfour-quark
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Two-Loop Anomalous Dimensions in the LEFT: Dimension-Six Four-Fermion Operators in NDR

    hep-ph 2025-01 unverdicted novelty 7.0

    Derives the full two-loop ADM for four-fermion operators in LEFT in NDR scheme including O(α_s²), O(α_s α) and O(α²) terms, with results for 5/4/3 active flavors implemented in DsixTools.

  2. Inclusive Charmless Non-Leptonic B Decays at NLO within and beyond the Standard Model

    hep-ph 2026-07 accept novelty 6.0

    Complete NLO QCD corrections to charmless inclusive non-leptonic B-decay widths are computed for the full BSM operator set, yielding 26 constrained directions in Wilson coefficient space.

  3. From WIMP to FIMP during reheating: collider vs non-collider probes for p-wave annihilation

    hep-ph 2026-05 unverdicted novelty 4.0

    Collider experiments can strongly constrain p-wave-suppressed derivative operators and thereby limit reheating temperature, DM mass, and interaction scale needed to match observed DM abundance during reheating.