The anomalous dimension of |ΔS|=1 current-current operators is calculated analytically at NNNLO in QCD, with basis transformation rules provided.
|Delta F| = 1 Nonleptonic Effective Hamiltonian in a Simpler Scheme
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abstract
We consider |\Delta F| = 1 (F = S,C or B) nonleptonic effective hamiltonian in a renormalization scheme which allows to consistently use fully anticommuting gamma_5 at any number of loops, but at the leading order in the Fermi coupling G_F. We calculate two-loop anomalous dimensions and one-loop matching conditions for the effective operators in this scheme. Finally, we transform our results to one of the previously used renormalization schemes, and find agreement with the original calculations.
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hep-ph 4representative citing papers
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.
Three-loop perturbative corrections to B and D meson lifetime ratios are calculated, producing values that agree with experiment when using HQET sum rules or lattice inputs.
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.
citing papers explorer
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Four-loop QCD mixing of current-current operators
The anomalous dimension of |ΔS|=1 current-current operators is calculated analytically at NNNLO in QCD, with basis transformation rules provided.
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Two-Loop Anomalous Dimensions in the LEFT: Dimension-Six Four-Fermion Operators in NDR
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.
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Next-to-next-to-leading QCD corrections to the $\mathbf{B^+}$-$\mathbf{B_d^0}$, $\mathbf{D^+}$-$\mathbf{D^0}$, and $\mathbf{D_s^+}$-$\mathbf{D^0}$ lifetime ratios
Three-loop perturbative corrections to B and D meson lifetime ratios are calculated, producing values that agree with experiment when using HQET sum rules or lattice inputs.
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Inclusive Charmless Non-Leptonic B Decays at NLO within and beyond the Standard Model
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.