English

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

High Energy Physics - Phenomenology 2024-02-15 v2

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.

Keywords

Cite

@article{arxiv.hep-ph/0005183,
  title  = {Two-Loop QCD Anomalous Dimensions of Flavour-Changing Four-Quark Operators Within and Beyond the Standard Model},
  author = {Andrzej J. Buras and Mikolaj Misiak and Joerg Urban},
  journal= {arXiv preprint arXiv:hep-ph/0005183},
  year   = {2024}
}

Comments

40 pages, 1 figure, eq.(4.9) corrected, appendix F added