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- W1559880410 abstract "We calculate the two-loop $10 times 10$ anomalous dimension matrix ${cal O}(alpha_s^{2})$ involving current-current operators, QCD penguin operators, and electroweak penguin operators especially relevant for $Delta S=1$ weak non-leptonic decays, but also important for $Delta B=1$ decays. The calculation is performed in two schemes for $gamma_{5}$: the dimensional regularization scheme with anticommuting $gamma_{5}$ (NDR), and in the 't Hooft-Veltman scheme. We demonstrate how a direct calculation of diagrams involving $gamma_{5}$ in closed fermion loops can be avoided thus allowing a consistent calculation in the NDR scheme. The compatibility of the results obtained in the two schemes considered is verified and the properties of the resulting matrices are discussed. The two-loop corrections are found to be substantial. The two-loop anomalous dimension matrix ${cal O}(alpha_ealpha_s)$, required for a consistent inclusion of electroweak penguin operators, is presented in a subsequent publication." @default.
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- W1559880410 date "1993-07-01" @default.
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- W1559880410 title "Two-loop anomalous dimension matrix for ΔS = 1 weak non-leptonic decays (I). O(α2s)" @default.
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- W1559880410 doi "https://doi.org/10.1016/0550-3213(93)90397-8" @default.
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