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The Rule of Discarding $1/N_c$ in Inclusive Weak Decays. II

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arxiv hep-ph/9209289 v1 pith:UEOXKXLE submitted 1992-09-29 hep-ph

classification hep-ph
keywords inclusivecorrectiondecayswidthabsolutecalculatecalculatedcancel
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We calculate the leading preasymptotic correction to the inclusive width $b\rightarrow \bar c c s$ (two massive quarks in the final state) due to the operator $\vec \sigma \vec H$. It is found that this correction tends to cancel the $1/N_c$ part of the inclusive width calculated using naive factorization. The absolute value of the effect is of order 0.25. We also discuss how quark-hadron duality is realized in the inclusive 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. $B$-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. Predictions for $b$-baryon lifetimes at NNLO-QCD

    hep-ph 2026-07 accept novelty 6.0 of 10

    NNLO-QCD corrections to the free b-quark decay and NLO corrections to dimension-five operators reduce uncertainties in HQE predictions for b-baryon lifetimes, yielding excellent agreement with experiment.

  4. From QCD sum rules to HQET sum rules: Heavy-quark limit of four-quark operator matrix elements

    hep-ph 2026-06 unverdicted novelty 5.0 of 10

    Computes four-quark operator matrix elements via QCD sum rules, derives their HQET limit, demonstrates numerical consistency between the two, and identifies the source of prior literature discrepancies.

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