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Nonleptonic B-meson decays to next-to-next-to-leading order
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Nonleptonic B-meson decays to next-to-next-to-leading order
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We compute next-to-next-to-leading order QCD corrections to the partonic processes $b\to c \bar{u} d$ and $b\to c \bar{c} s$, which constitute the dominant decay channels in standard model predictions for $B$-meson lifetimes within the heavy quark expansion. We consider the contribution from the four-quark operators $O_1$ and $O_2$ in the $\Delta B =1$ effective Hamiltonian. The decay rates are obtained from the imaginary parts of four-loop propagator-type diagrams. We compute the corresponding master integrals using the "expand and match" approach which provides semi-analytic results for the physical charm and bottom quark masses. We show that the dependence of the decay rate on the renormalization scale is significantly reduced after including the next-to-next-to-leading order corrections. Furthermore, we compute next-to-next-to-leading order corrections to the Cabibbo-Kobayashi-Maskawa-suppressed decay channels $b \to u \bar c s$ and $b \to u \bar u d$.
Forward citations
Cited by 4 Pith papers
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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
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.
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Inclusive Charmless Non-Leptonic B Decays at NLO within and beyond the Standard Model
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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Predictions for $b$-baryon lifetimes at NNLO-QCD
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.
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New Predictions for the Lifetimes of Doubly Heavy Baryons and the $B_c$ Meson
Updated lifetime predictions for doubly heavy baryons and B_c meson with NNLO and NLO corrections in MS-bar, kinetic, and Upsilon mass schemes, including new hierarchies for bc states.
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