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Anomalous Dimension Matrix for Radiative and Rare Semileptonic B Decays up to Three Loops

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arxiv hep-ph/0306079 v2 pith:F2XSMKL5 submitted 2003-06-10 hep-ph

Paolo Gambino , Martin Gorbahn , Ulrich Haisch This is my paper · ORCID
classification hep-ph
keywords decayssemileptonicalphasanomalousdimensionmatrixmisiakmunz
verification ladder T0 review T1 audit T2 compute T3 formal
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We compute the complete O(alphas^2) anomalous dimension matrix relevant for the b to s gamma, b to s gluon and b to s l+l- transitions in the standard model and some of its extensions. For radiative decays we confirm the results of Misiak and Munz, and of Chetyrkin, Misiak and Munz. The O(alphas^2) mixing of four-quark into semileptonic operators is instead a new result and represents one of the last missing ingredients of the next-to-next-to-leading-order analysis of rare semileptonic B meson decays.

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Cited by 4 Pith papers

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

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

    hep-ph 2025-01 unverdicted novelty 7.0 of 10

    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. Precision tests of third-generation four-quark operators: $gg \to h$ and $h \to \gamma \gamma$

    hep-ph 2025-07 conditional novelty 6.0 of 10

    Two-loop SMEFT corrections from third-generation four-quark operators to gg to h and h to gamma gamma are computed with full mass dependence, including new two-loop anomalous dimensions.

  3. Current-current operator contribution to the decay matrix in $B$-meson mixing at next-to-next-to-leading order of QCD

    hep-ph 2025-05 conditional novelty 6.0 of 10

    The full charm-mass dependence of the three-loop current-current contribution to the B-meson decay matrix is computed, yielding Delta_Gamma_s = (0.077 +/- 0.016) ps^-1 with the leading-term perturbative error reduced ...

  4. Investigating non-local contributions in $B_{s} \to \phi \bar{\ell} \ell$ including higher-twist effects

    hep-ph 2025-02 conditional novelty 6.0 of 10

    Including twist-5 and twist-6 B_s-meson distribution amplitudes enhances the charm-loop non-local form factors in B_s to phi l+l- by about an order of magnitude, producing a larger but still Standard-Model-consistent ...

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