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Next-to-Leading Order QCD Corrections to $\Delta F =2$ effective Hamiltonians

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arxiv hep-ph/9711402 v1 pith:RVVADOFS submitted 1997-11-20 hep-ph

classification hep-ph
keywords deltacalculationcorrectionsnext-to-leadinganomalous-dimensionapplicationsb-hadroncomputed
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The most general QCD next-to-leading anomalous-dimension matrix of all possible four-fermion, dimension-six $\Delta F=2$ operators is computed. The results of this calculation can be used in many phenomenological applications, among which the most important are those related to theoretical predictions of $K^0-\bar{K}^0 $ and $B^0-\bar{B}^0$ mixing in several extension of the Standard Model (Supersymmetry, left-right symmetric, multi-Higgs models, etc.), to estimates of the $B^0_s$--$\bar B^0_s$ width difference, $\Delta \Gamma_{B_s}$, and to the calculation of the $O(1/m_b^3)$ corrections for inclusive b-hadron decay rates.

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Cited by 3 Pith papers

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

  1. RI-(S)MOM to $\overline{\rm MS}$ conversion for $B_K$ at two-loop order

    hep-ph 2024-11 conditional novelty 8.0 of 10

    A two-loop scheme-conversion calculation shifts and tightens the world average of the kaon bag parameter to 0.7627(60), updating the Standard Model prediction for epsilon_K.

  2. $B$-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.

  3. HQET sum rules for matrix elements of dimension-six four-quark operators for meson lifetimes within and beyond the Standard Model

    hep-ph 2024-12 conditional novelty 7.0 of 10

    HQET sum rules yield the first four-quark bag parameters for B-meson lifetimes with beyond-standard-model operators, plus updated standard-model results.

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