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

By Andrzej Buras, M. Misiak, J. Urban. 2000

288 citations recorded by the source corpus.

We calculate the two-loop QCD anomalous dimension matrix (ADM) (γ(1))NDR in the NDR– MS 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– MS results for ΔF=1 operators overlap with the previous calculations, but several others have never been published before. In the case of ΔF=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– MS results. In order to explain the difference, we calculate the ADM of ΔF=2 operators again, extracting it from the ADM of ΔF=1 operators.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b8dc7623cf48e7fdd9fc7fce9c40665b0d3a45ac

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In Nuclear and High Energy Physics

Citations in the corpus

Anatomy and phenomenology of FCNC and CPV effects in SUSY theories (2009, background): “12): we expect large NP contributions in the mixing amplitudes from models that predict both nonzero (δ d )32 and (δ RR d )32 MIs, since in this way the operators Q4 and Q5, that are strongly enhanced through QCD renormalization group effects [127, 128], have non-vanishing Wilson coefficients.”
ΔF = 2 observables and fine-tuning in a warped extra dimension with custodial protection (2008, methodology): “The relevant anomalous dimension matrices necessary for this renormalisation group evolution have been calculated at twoloop level in [47, 48] and analytic formulae for the relevant QCD factors analogous to ηi in (4.”
Patterns of flavour violation in models with vector-like quarks (2016, methodology): “The set of operators consists out of (5 + 3) = 8 operators [34],”
Constraints on CP-violating Higgs couplings to the third generation (2013, background): “Adapting existing results for the anomalous dimensions [40, 41, 44–46] to our definition of”
FLAG Review 2019 (2019, methodology): “The SWME collaboration prefers the latter since the anomalous dimension that enters the RG running has been calculated to two loops in perturbation theory [503].”