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Calculation of next-to-leading QCD corrections to b -> s gluon

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arxiv hep-ph/0009144 v1 pith:ODCY7GCY submitted 2000-09-12 hep-ph

C. Greub (Bern) , P. Liniger (Bern) This is my paper · ORCID
classification hep-ph
keywords correctionsbranchingratioresultcalculationcharmlesscoefficientcomplete
verification ladder T0 review T1 audit T2 compute T3 formal
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A detailed standard model (SM) calculation of the O(alpha_s) virtual corrections to the decay width for b -> s g is presented (g denotes a gluon). Also the complete expressions for the corresponding bremsstrahlung corrections are given. Taking into account the existing next-to-leading logarithmic (NLL) result for the Wilson coefficient C_8^eff, a complete NLL result for the branching ratio BR(b->sg) is derived. Numerically, we obtain BR(b->sg)=(5.0 +/- 1.0) * 10^(-3), which is more than a factor of two larger than the leading logarithmic result. The impact of these corrections on the inclusive charmless hadronic branching ratio of B-mesons, which can be used to extract |V_(ub)/V_(cb)|, is shown to be of similar importance as NLL corrections to b-quark decay modes with three quarks in the final state. Finally, the impact of the NLL corrections to b->sg on the charmless hadronic branching ratio is investigated in scenarios, where the Wilson coefficient C_8 is enhanced by new physics.

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Cited by 3 Pith papers

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  1. $B$-meson decay width up to $1/m_b^3$ corrections within and beyond the Standard Model

    hep-ph 2025-12 conditional novelty 7.0 of 10

    Complete analytic HQE matching coefficients for B-meson decay widths up to 1/m_b^3 are derived for generic new-physics operators, including previously missing weak-annihilation terms.

  2. Total decay rates of $B$ mesons at NNLO-QCD

    hep-ph 2024-12 conditional novelty 7.0 of 10

    At NNLO in QCD, the heavy quark expansion predicts the B+, Bd, and Bs decay widths and semileptonic branching fractions within experimental uncertainties, with a systematic 4% shortfall in the central width values.

  3. Inclusive Charmless Non-Leptonic B Decays at NLO within and beyond the Standard Model

    hep-ph 2026-07 accept novelty 6.0 of 10

    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.

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