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arxiv: 2412.13270 · v3 · pith:QOI64XHM · submitted 2024-12-17 · hep-ph

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

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classification hep-ph
keywords operatorseffectiveelementsfour-quarkhamiltonianmatrixdeltadimension-six
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Theory predictions of heavy-hadron lifetime ratios critically depend on precise determinations of the dimension-six spectator effects arising from the double insertion of the weak effective $|\Delta B| = 1$ Hamiltonian. In the presence of beyond-standard-model (BSM) operators, the resulting $\Delta B = 0$ Hamiltonian features additional four-quark operators whose matrix elements need to be determined using non-perturbative methods. We present for the first time results for the non-perturbative hadronic matrix elements of the four-quark operators relevant for the description of the meson lifetime ratio $\tau\left(B^+\right) / \tau\left(B_d\right)$, obtained using heavy-quark effective theory (HQET) sum rules with the full BSM effective Hamiltonian. In addition, we recompute and update the bag parameters for the Standard Model operators.

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Cited by 4 Pith papers

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

  1. 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

    hep-ph 2026-04 conditional novelty 7.0

    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.

  2. Predictions for $b$-baryon lifetimes at NNLO-QCD

    hep-ph 2026-07 accept novelty 6.0

    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.

  3. $b\to c \bar u q$ decay and CP violating observables in the presence of new physics contributions

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    Phenomenological constraints on complex Wilson coefficients in b→cūq transitions from branching fraction tensions, yielding predictions for ACP, γ, and mixing observables under color-singlet and color-rearranged scenarios.

  4. $b\to c \bar u q$ decay and CP violating observables in the presence of new physics contributions

    hep-ph 2026-05 unverdicted novelty 3.0

    Phenomenological constraints on complex Wilson coefficients for b→cūq transitions from branching fraction tensions, yielding predictions for ΔΓd/Γd, ASL^d and ACP under color-singlet and color-rearranged scenarios.